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Showing posts with label DYNAMICS OF MACHINERY. Show all posts
Showing posts with label DYNAMICS OF MACHINERY. Show all posts

Tuesday, May 20, 2014

ME 04 606-DYNAMICS OF MACHINERY DECEMBER 2010 (2004 Admissions)

SUBJECT - DYNAMICS OF MACHINERY

CODE -  04 606

SEMESTER - SIXTH

BRANCH - ME

UNIVERSITY - CALICUT

YEAR - 2010

DOWNLOAD LINK AVAILABLE AT THE END OF THIS POST

ME 04 606-DYNAMICS OF MACHINERY JUNE 2007 (2004 Admissions)

SUBJECT - DYNAMICS OF MACHINERY

CODE -  04 606

SEMESTER - SIXTH

BRANCH - ME

UNIVERSITY - CALICUT

YEAR - 2007

DOWNLOAD LINK AVAILABLE AT THE END OF THIS POST

ME 04 606-DYNAMICS OF MACHINERY JUNE 2008 (2004 Admissions)

SUBJECT - DYNAMICS OF MACHINERY

CODE -  04 606

SEMESTER - SIXTH

BRANCH - ME

UNIVERSITY - CALICUT

YEAR - 2008

DOWNLOAD LINK AVAILABLE AT THE END OF THIS POST

ME 04 606-DYNAMICS OF MACHINERY JUNE 2009 (2004 Admissions)

SUBJECT - DYNAMICS OF MACHINERY

CODE -  04 606

SEMESTER - SIXTH

BRANCH - ME

UNIVERSITY - CALICUT

YEAR - 2009
Answer all questions.
Missing data if any may be suitably assumed. Clearly
mention the assumption made.
Draw neat sketches.
Drawing conventions are to be strictly followed.

I.(a) What are the conditions of state equilibrium of a three-force member and a member with two forces and a torque ?
(b) With suitable example explain the principle of super position.
(c) What is the function of a flywheel ? How does it differ from that of a governor ?
(d) Explain the terms “static balancing” and “Dynamic balancing”. State the necessary conditions to achieve them.
(e) Discuss the effect-inertia of the shaft, in transverse vibration.
(f) Find the natural frequency of the system shown in figure 1.
(g) Use Lagrange’s equation to find equations of motion for a system shown in Figure 2.
Explain with suitable sketches, the co-ordinate coupling.
(8x5=40 marks)

II. (a) For the static equilibrium of the quick-return mechanism shown in Figure 3, find the required input torque T2 for a force of 3500 N on the slider. Angle of link EB with the vertical is 70°. The impending motions of the slider is to the left. Assume the coefficient of friction p = 0.17 for each sliding pair.

(b) A single cylinder vertical engine has a bore of 30 cm and a stroke of 40 cm. The connecting rod is 100 cm long. The mass of the reciprocating parts is 140 kg. On the expansion stroke with the crank at 30° from the top dead center, the gas pressure is 0.7 MPa. If the engine runs at 250 r.p.m., determine :
(i) The net force acting on the piston.
(ii) Resullant load on the gudgeon pin.
(iii) Thrust on the cylinder walls.
(iv) The speed above which, other things remaining same, the gudgeon pin load would be reversed in direction.
(15 marks) 

III. (a) A machine requiring a driving torque of (2000 + 3000 sin 0) N-m is driven by a directly coupled two stroke engine whose turning moment is given by (2000 + 4000 sin 20). The average speed is 150 r.p.m. Determine :
(i) The power output of the engine.
(ii) The maximum angular acceleration of the flywheel, and
(iii) The moment of ine rtia of the flywheel to limit the speed of fluctuation within ± 2 % of the average speed.
(15 marks)

Or
(b) A racing car of mass 2500 kg has a wheel base of 2 m and track width of 105 cm. The center of gravity lies-mid-way between the front and the rear axels and is 0.4 m above the ground. The engine rotating part are equivalent of a flywheel of moment of inertia of 50 kg-ro2 rotating at 6000 r.p.m. in clockwise direction when viewed from the front. If the car speeding at 50 Km/hr rounds a curve of 15 m radius, determine the reaction between the wheels and the ground. Consider the gyroscopic effect of the flywheel, the dead weight of the car and the centrifugal effects. Neglect the effect due to rotating wheels.
(15 marks)

IV. (a) A mass of 2 kg is supported on an isolator having a spring scale of 2940 N/m and viscous damping. If the amplitude of free vibration of the mass falls to one half its original value ir 1.5 seconds, determine the damping coefficient of the isolator.
(7 marks)

(b) A spring mass system is excited by a force 4 sin wt N. The stiffness of the spring is 5 N/cm and the weight of the mass in 10 N, determine
(i) the magnification factor for w = 12 rad/sec.
(ii) the amplitude and time after 10 cycles at resonance.
(8 marks)
Or

(c) A circular cylinder of mass 4 kg and radius 15 cm is connected by a spring of stiffness 4000 N/m as shown in figure 4. It is free to roll on horizontal rough surface without slipping, determine the natural frequency.
(7 marks)
(d) Determine the value of ‘b’ for which the system shown in figure 5, will not vibrate. Assume
(15 marks)
Or

(b) An automobile weighs 2000 kg and has a wheel base of 3.0 m. Its center of gravity is located 1.4 m behind the front wheel axis and has a radius of gyration about its center of gravity as 1.1 m. The front springs have a combined stiffness of 6000 kg/cm and rear springs 6500 kg/cm. Find the principle mode of vibration of the automobile and locate the model points for each mode. 
(4x15=60 marks)

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ME 04 606-DYNAMICS OF MACHINERY JUNE 2010 (2004 Admissions)

SUBJECT - DYNAMICS OF MACHINERY

CODE -  04 606

SEMESTER - SIXTH

BRANCH - ME

UNIVERSITY - CALICUT

YEAR - 2010
Answer .all questions.
Missing data, if any may be suitably assumed.
Clearly mention the assumptions made. Draw neat sketches.
Drawing conventions are to be strictly followed.

I (a) Explain the principle of virtual work.

(b) Define and explain the terms : Gears, Friction wheels, Spur gears, Bevel gears and Helical gears.
(A.) Draw the turning moment diagram for the following different types of engines neglecting the effect of inertia of the connecting rod :—
(i)For a single’cyiinder double acting steam engine.
(ii)For a four stroke cycle I.C.engine and
(iii)For a multi cylinder engine.

(d) What do you meant by static balancing and dynamic balancing ? What are the necessary conditions to achieve them ?

(e) Define and explain the terms : Vibrations, Free vibration, Forced vibration and Damped vibration.

(f) Find an expression for natural frequency of free torsional vibrations when
(i) Effect of inertia of shaft is not considered, and
(ii Effect of inertia of shaft is considered.

(g) Find the mechanical impedance Z of the top point of a spring k, from which is suspended a
mass m. It .

(h) With the help of equations and graph, differentiate between seismometer and accelerometer.
(8 x 5 = 40 marks)

II (a) The following data relate to a horizontal reciprocating engine: the mass of reciprocating parts are 120 kg, crank length is 90 mm, engine speed is 600 rpm, mass of the connecting rod is 90 kg, length between centres is 450 mm, distance of centre of mass from big end centre is 180mm, radius of gyration about an axis through centre of mass is 150 mm. Find the magnitude and the direction of the inertia torque on the crankshaft when the crank has turned 30° from the inner dead centre.
(15 marks)

(b) The dimension of a four link mechanism are : AB = 400 mm, BC = 600 nun, CD = 500 mm, AD = 900 mm and angle between DAB is (30°. AD is the fixed link. E is a point on link BC such that BE = 400 mm and CE = 300 mm (BEC clockwise) A force of 150 angle 45° N acts on DC at a distance of 250 ram from D. Another force of magnitude 1.00 and angle 180° N acts at point E. Find the required input torque on link AB for static equilibrium of the mechanism
(15 marks)

III (a) A disturbing mass 600 kg is attached to a shaft. The shaft is rotating at a uniform angular velocity o rad / sec and the distance of the C.G. of the disturbing mass from the axis of rotation is 270 mm. The disturbing mass is to be balanced by two masses in two different planes. The distance of the C.G. of the balancing massesfromthe axis of rotation is 450 mm each. The distances between the two planes of the balancing masses is 1.5 m and the distance between the plane of the disturbing mass and one of the planes of the balancing masses is 300mm. Determine : (i) the distance between the plane of disturbing mass and the plane of the other balancing mass, (li) magnitude of balancing masses when (1) the planes of balancing masses are on the same side of the plane of the disturbing mass. (2) the planes of the balancing masses are on either side of the plane of the disturbing mass.
. (15 marks)
Or

(b) The cranks of a two cylinder uncoupled outside cylinder locomotive are at right angles and are 300mm long. The distance between the centre Unes of the cylinder is 1.8 m. The wheel centre lines are 1.4m apart. The rotating mass per cylinder is 350 kg and the mass of the reciprocating parts per cylinder is 285 kg.The whole of the rotating and two third of the reciprocating masses are to be balanced in the plane of the driving wheels at a radius of 800mm. Determine: (i) the magnitude and angular positive of balance masses, (ii) the maximum speed of the locomotive in km/hr.without lifting in wheels from the rails if the dead load on each drivmg wheel is 28000N and diameter of the driving wheel is 1.8m and (iii) swaying couple at the maximum speed.
(15 marks)

IV (a) In a single degree damped vibrating system, a suspended mass of3.75kg makes 12 oscillations in 7 seconds when disturbed from its equilibrium position. The amplitude of vibration reduces to 0.33 of its initial value after four oscillations. Determine r(i) stiffness of the spring, (ii) logarithmic decrement, (iii) damping factor and (iv) the damping coefficient.
(15 marks)

Or

(b) The moments of inertia of three rotors A.B and C are respectively 0.3,0.6 and 0.18 kgm2 The distance A and B is 1.5m and between B and C is 1m. The shaft is 70 mm in diameter and the modulus of rigidity for the shaft material is 84 x 109 N/m2. Find (i) the frequencies of torsional vibrations, (ii) positions of nodes and (iii) amplitude of vibrations.
(15 marks)
V (a) An automobile has main springs which are compressed 4 in. under the weight of the body. Assume the tires to be infinitely stiff. The car stands on a platform which is first at rest and then is suddenly moved downward with acceleration 2g. Find (i) how far does the platform move before the tires leave it ? (ii) Assuming the car to have a speed of 30 m.p.h., draw the profile of the road which would correspond to the 2g-accelerated platform. This questions has meaning for front wheels only.
(15 marks)

(b) An automobile weighing 4500N has a mass moment of inert ia of 2.25 x 106 N/mm2 about an axis passing through OG. The front and rear suspension can be approximated to springs with 8.1 N/mm stiffness. CG of the vehicle is 750 mm from the front axle. Wheel base is 2000mm. Find the natural frequencies and mode shape.
(15 marks) 


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ME 04 606-DYNAMICS OF MACHINERY JUNE 2012 (2004 Admissions)

SUBJECT - DYNAMICS OF MACHINERY

CODE -  04 606

SEMESTER - SIXTH

BRANCH - ME

UNIVERSITY - CALICUT

YEAR - 2012

DOWNLOAD LINK AVAILABLE AT THE END OF THIS POST

Part A
Answer all Questions

I. (a)Explain static and dynamic force analysis.

(b) Explain about the force analysis bevel gear and worm gears.

(c) Prove that the maximum fluctuation of energy, A E = E x 2Cr Write a short note on primary and secondary balancing.

(d) What is whirling speed of the shaft ? Derive the expression.

(e) Explain the torsionally equi v alent system with suitable example.

(f) Explain about beat phenomenon, how it differ from resonance ?

(g) Explain the significance of finding Eigen value and Eigen vector in a vibrating system ?
(8x5=40 marks)

II. (a) The dimensions of a four link mechanism are AB = 500 mm, BC = 660 mm, CD = 560 mm and AD = 1000 mm. The link AB has an angular velocity of 20.5 rad/s counter clockwise and an angular retardation of 25 rad/s2 at the instant when it makes an angle of 55° with AD, the fixed link. The mass of the links BC and CD is 4.2 kg/m length. The link AB has a mass of 3.54 kg, the centre of which lies at 200 mm from A and a moment of inertia of 88500 kg.mm2. Neglecting gravity and friction effects, determine the instantaneous value of the drive torque required to be applied on AB to overcome inertia forces.
Or
(b) The dimensions of a four link mechanism are: AB = 400 mm BC = 600 mm, CD = 500 mm, AD = 900 mm and , ZDAB = 60°. AD is fixed link E is a point on link BC such that BE = 400 mm and CE = 300 mm (BEC clockwise). A force of 150 Z45° N acts on DC at a distance of250 mm from D. Another force of magnitude 230 Z. 180° N acts at point E. Find the

III. (a) A constant torque 5 kW motor drives a riveting machine. A flywheel of mass 140 kg and
radius of gyration of 0.5 m is fitted to the riveting machine. Each riveting operation takes 1 second and requires 5000 Nm of energy. If the speed of flywheel is 450 r.p.m. before riveting, then find: (i) the fail in speed of the flywheel after the riveting, (ii) the number of rivets dosed per hour.
Or

(b) The crank of a two cylinder uncoupled inside cylinder locomotive are at right angles and are 300 mm long. The distance between the centre lines of the cylinder is 650 mm. The wheel centre lines are 1.6 m apart. The reciprocating mass per cylinder is 300 kg. The driving wheel diameter is 1.8 m. If the hammer blow is not to exceed 45 KN at 100 km/hr, determine: (i) the fraction of the reciprocating masses to be balanced, (ii) the variation in tractive effort, (iii) the maximum swaying couple.

IV. (a) Find the frequency of the transverse vibrations of a shaft which is simply supported at the
ends and is of 40 mm in diameter and 2.5 m in length. The shaft carries three point loads of masses 40 kg, 77 kg and 42 kg at 0.5 m, 1 m and 1.7 m respectively from the left support. The Young’s modulus for the material of the shaft is 200 GN/m2. Neglect the weight of the shaft.
Or
(b) A shaft of length 1.25 m is 75 mm in diameter for the first 275 mm of its length, 125 mm in diameter for the next 500 mm length, 87.5 mm in diameter for the next 375 mm length and 175 mm in diameter for the remaining 100 mm of its length. The shaft carries two rotors at two ends. The mass moment of inertia of the first rotor is 75 kg m2 whereas of the second rotor is 50 kg m2. Find the frequency of natural torsional vibrations of the system. The modulus of the rigidity of shaft material may be taken as 80 GN/m2.

V. (a) In a turned dynamic vibration absorber which is connected to a SDOF system having a mass of 90 kg, the mass of the absorber is 4.5 kg and amplitude of disturbing force is 400 N. If the main mass is at rest when the forcing frequency is 90 Hz. Find the amplitude of vibration of the absorber mass and stiffness of the absorber. Also find the stiffness of the SDOF system.
Or
(b) An automobile has main springs which are compressed 10 cm. under the weight of the body. Assume the tires to be infinitely stiff. The car runs over a road surface consisting of sine waves of 2.54 cm. amplitude (i.e., having 5 cm height difference between crests and valleys) and with distance of 12 m. between consecutive crests. There are no shock absorbers, (i) find the critical speed of the car ; (ii) find the amplitude of vertical vibration of the chassis at a forward speed of 40 m.p.h. 


(4x15=60 marks)

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ME 04 606-DYNAMICS OF MACHINERY MARCH 2013 (2004 Admissions)

SUBJECT - DYNAMICS OF MACHINERY

CODE -  09 601

SEMESTER - SIXTH

BRANCH - ME/PTME

UNIVERSITY - CALICUT

YEAR - 2013

Answer all questions.
Missing data, if any may be suitably assumed.
Clearly mention the assumptions made. Draw neat sketches.
Drawing conventions are to be strictly followed.

1.(a) Name and explain the two different types of steering mechanism. What are their merits and
demerits ?

(b) Explain the principle of virtual work.

(c) Explain clearly how the functions of flywheel and governor differ from each other in a steam engine.

(d) A number of masses are attached to a shaft which is rotating at an angular speed of G> rad/s. If all the masses are in different planes, then describe the analytical method and graphical method of balancing these masses.

(e) Prove that the natural frequency of free longitudinal vibrations, is given by fn = 0.4985/V5 Hz, where 5 = static deflection in meter.

(f) Describe in details the method of finding the frequency of torsional vibration of a two rotor system.

(g) A uniform bar of length l and mass m carries at its right end an additional mass, also m. It is mounted on two equal spring k at the extremities. Find the two natural frequencies and the corresponding shapes of vibration.

(h) A system consists of a solid cylinder of radius R and weight W, which rolls without slipping on a horizontal track. To its center is pivoted a uniform bar of total length 3R and weight W, equal to that of the cylinder. Set up the equations of the system, and find the natural frequencies of small oscillations.
(8x5=40 marks)


2.(a) The following data are relate to the connecting rod of a reciprocating engine : mass is 50 kg.
distance between bearing centres is 900 mm., diameter of big end bearing is 100 mm., diameter of small end bearing is 80 mm. time of oscillation when the connecting rod is suspended from big end for 1.7s and from small end for 1.85 s. Determine : (i) the radius of gyration k of the rod about an axis through centre of mass perpendicular to the plane of oscillation ; (ii) the moment of inertia of the rod about the same axis; and (iii) the dynamically equivalent system of the connecting rod comprising two masses, one at the small end bearing centre.
Or
(b) The dimensions of a four link mechanism are AB = 500 mm. BC = 600 mm., CD « 560 mm. and AD = 1000 mm. The link AB has an angular velocity of 10.5 rad/s counter clockwise and an angular retardation of 26 rad/s.2 at the instant when it makes a angle of 60° with AD, the fixed link. The mass of the links BC and CD is 4.2 kg/m. length. The link AB has a mass of 3.54 kg. the centre of which lies at 200 mm. from A a moment of inertia of 88500 kg.mm.2 neglecting gravity and friction effects, determine the instantaneous value of the drive torque required tcfbe applied on AB to overcome the inertia forces.

3. (a) A shaft is rotating at a uniform angular speed. Four masses ml9 m2> and m4 of magnitude
300 kg., 450 kg., 360 kg. and 390 kg. respectively are attached rigidly to the shaft. The masses are rotating in the same plane. The corresponding radii of rotation are 200 mm., 150 mm., 250 mm. and 300 mm. respectively. The angles made by these masses with horizontal are 0°, 45°, 120° and 255° respectively. Find (i) the magnitude of the balancing mass and (ii) the position of the balancing mass if its radius of rotation is 200 mm,

Or

(b)A 90° V engine has two cylinder which are placed symmetrically. The two connecting rods operate a common crank. The lengths of connecting rods are 320 mm. each and crank radius is 80 mm. The reciprocating mass per cylinder is 12 kg. If the engine speed is 600 r.p.m. then find the resultant primary and secondary forces. Also find the maximum resultant secondary force.

4.(a) A harmonic exciting force of 25 N is acting on a machine part, which is having a mass of 2 kg.
and is vibrating in a viscous medium. The exciting force causes resonant amplitude of 12.5 mm. with a period of 0.20 seconds. Determine the damping coefficient. If the system is excited by a harmonic force of frequency 4 Hz, find the increase in amplitude of forced vibration when damper is removed.
Or
(b) The moment of inertia of three rotors A, B and C are respectively 400 kg.-m.2 160 kg.m2 and 10 kg.m.2 The distance between rotor A and B is 2 m. and they are connected by a shaft of diameter 50 mm. The distance between rotor B and C is also 2 m. and they are connected by a shaft of diameter 25 mm. Determine (i) Natural frequencies of torsional vibrations and (ii) Position of nodes. Take modulus of rigidity as 80 kN/mm.2 and neglect the inertia of the shaft.

5.(a) An automobile has main springs which are compressed 4 in under the weight of the body.
Assume the tires to be infinitely stiff. The car runs over a road surface consisting of sine waves of 1 in amplitude (i.e., having 2 in. height difference between crests and valleys) and with distance of 4.2 ft. between consecutive crests. There are no shock absorbers, (i) find the critical speed of the car ; (ii) find the amplitude of vertical vibration of the chassis at a forward speed of 40 m.p.h.

Or
(b) In a turned dynamic vibration absorber which is connected to a SDOF system having a mass of 90 kg., the mass of the absorber is 4.5 kg. and amplitude of disturbing force is 300 N. If the main mass is at rest when the forcing frequency is 100 Hz. Find the amplitude of vibration of the absorber mass and stiffness of the absorber. Also find the stiffness of the SDOF system.


(4x15=60 marks)

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ME/PTME 09 601-DYNAMICS OF MACHINERY MAY 2013 (2009 Admissions)

SUBJECT - DYNAMICS OF MACHINERY

CODE -  04 606

SEMESTER - SIXTH

BRANCH - ME

UNIVERSITY - CALICUT

YEAR - 2013
Part A
Answer all Questions

1. Define shaking force.
2. Two masses in different planes are necessary to rectify the dynamic unbalance. Comment.
3. Define the term transmissibility. *
4. Whether the frequency of a non-linear system,a constant ? If not, why ?
5. Resonance, usually, does not occur ih non linear systems. Why ?
(5x2=10 marks)

Part B
Answer any four questions
Each question carries 5 marks

6.Write down the expression for finding thrust on sides of cylinder, crank effort and thrust on bearings in terms of effective piston force,F.

7.For a single cylinder resiprocating engine,mass of rotating parts is 30 kg, mass of reciprocating parts is 40 kg,and stroke is 350 mm and speed 150r.p.m.Determine the balance mass required at a radius of 320 mm and unbalanced force When the crank has turned 450 from TDC, if 60% of the reciprocating parts and all of the revolving parts are to be balanced.

8.An aeroplane flying at 240 km/h turns towards the left and completes a quarter circle of 60 m radius.The mass of the rotary engine and propeller of the plane is 450 kg with radius of gyration of 320 mm. The engine speed is 2000 r.p.m`. clockwise when viewed from the rear. Determine the gyroscopic couple on the aircraft and state its effect.

9.An unknown mass of is attached to one end of a spring of stiffness V having natural frequency of 6 Hz. When 1 kg mass is attached With mass, 'm' the natural frequency of the system is lowered by 20%. Determine 'm' and 'k'

10.A damper offers resistance 0.05N at constant velocity 0.04 m/s.The damper is used with k=9 N/m.Determine the frequency of damped vibration if the mass of the system is 0.1 kg.

11.Determine the error in an accelerometer reading if natural frequency of accelerometer is 5 times the frequency of observed motion.Neglect damping.
(4x5=20 marks)

Part C
Answer all questions.
Each question carries 10 marks.

12. A slider crank mechanism with the following dimension is acted upon by a force F = 2 kN as shown below. OA = 100 mm, AB » 450 mm. the inpiit torque on the link OA for the static equilibrium of the mechanism.

Or

13. ABCD is a four-bar chain with AB as the fixed link. The lengths of the links are AB = 7.5 cm, BC = 33.75 cm, CD = 15 cm and DA = 37.5 cm. Link AB turns with a uniform speed of 120 r.p ra. in acw direction. The mass of link BC is 0)5 kg and its C.G. is 11.25 cm from B and its radius of gyration about an axis through the C.G. is 13.5 cm. For the configuration in whichthe angle BAD is 30° and B and G lie on opposite sides of B.B, find the angular acceleration ofi£© and the torque
. which must be exerted on AB in order to overcome the inertia of the link BC.

14. The cranks and connecting rods of a four cylinder inline engine running at 1800 Are 60 Dim and 240 mm respectively and the cylinders are spaced 150 mm apart. The cylinders are numbered 1 to 4 in sequence from one end | the cranks appear at intervals of 90° in an end view in the order 1-4-2-3. The reciprocating mass corresponding to each cylinder is 1.5 kg. Determine the unbalanced primary and secondary forces and unbalanced primary and secondary couples with reference to central plane of the engine. 

Or

15.The rotor of the turbine of a ship has a mass of 2500 kg and rotates at a speed of 3200 r.p.m. counter clockwise when viewed from stern.The rotor has a radius of gyration of 0.4m.Determine the gyroscopic couples and its effects when 
(a) The ship steers to the left in a curve of 80 m radius at a speed of 15 knots.
(b) The ship pitches 5 degrees above and 5 degrees below the normal position and the bow is descending with its maximum velocity-the pitching motion is simple harmonic with a periodic time 40 seconds.
(c) The ship rolls and at the instant its angular velocity is 0.4 rad/s clockwise when viewed from stern.Also find the maximum angular acceleration during pitching

16. A coil of spring stiffness 4 N/mm supports vertically a mass of 20 kg at the free end. The motion is resisted by the oil dashpot. It is found that the amplitude at the beginning of the fourth cycle is 0.8 times the amplitude of the previous vibration. Determine the damping force per unit velocity. Also-find the ratio of the frequency of damped and undamped vibrations.

Or

17. A shaft of 2.5 cm diameter, freely supported by bearings 75 cm apart, carries a single concentrated load of 196.2 N midway between the bearings. Determine the first critical speed. Assume, that shaft material has a density of 8 gm/cm^3 and: E is 2.1 x 10€ kgf/cm^2.

18. A steel shaft AJBCD 1.5 m long has flywheel- at its ends A and D. The mass of the flywheel A is
600 kg and has a radius of gyration of 0.6 m. The mass of the flywheel D is 800 kg and has a radius of gyration of 0.9 m. The connecting- shaft has a diameter of 50 mm for the portion AB which is 0.4 m long and has a diameter of 60 mm for the portion BC which is 0.5 m long and has a diameter d mm for the portion CD which is 0.6 tn long. .Determine the diameter d so that the node of the torsional vibration of the system will be centre of length BC and the natural frequency of the torsional vibration. Take G = 80 GPa.

Or

19. Write a short note on :
(a) Vibrometer and tb) Accelerometer.
(4 x 10 = 40 marks)

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ME 04 606-DYNAMICS OF MACHINERY DECEMBER 2007 (2004 Admissions)

SUBJECT - DYNAMICS OF MACHINERY

CODE -  04 606

SEMESTER - SIXTH

BRANCH - ME

UNIVERSITY - CALICUT

YEAR - 2007

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