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Anna University Chennai
Department of Mechanical Engineering
B.E B.Tech Degree Examinations 2015
Fifth Semester
ME2302 Dynamics of Machinery
Important Questions 2015
(Regulation 2008)
Question Paper Semester : 5 / V / Fifth
Question Paper Department : Mechanical
Subject Code of Question Paper: ME2302
Subject Name of Question Paper : Dynamics of Machinery
Type : Important Question Papers
Question Paper Syllabus Regulation : 2008
Question Paper Content Details: Anna University Chennai ME2302 Dynamics of Machinery Important Questions for Nov Dec 2015 Exams
Dynamics of Machinery ME2302 Important Questions for Anna University Examinations
Anna University Chennai Important Questions
ME2302 Dynamics of Machinery
V Sem MECH
Unit I-V
1. The turning moment diagram for a petrol engine is drawn to a scale of 1mm to 6N-9-9m and the
horizontal scale of 1mm to 1˚.The turning moment repeat itself after every half revolution of the engine. The area above and below the mean torque line are 305, 710, 50,350,980and 275mm2. The
mass of rotating parts is 40kg at a radius of gyration of 140mm.Calculate the coefficient of fluctuation of speed if the mean speed is 1500 rpm.
2. For reciprocating engine, derive the expression for (i) Velocity and acceleration of the piston
(ii) Angular velocity and angular acceleration of the connecting rod 3. The radius of gyration of a fly wheel is 1meter and fluctuation of speed is not to exceed 1% of the mean speed of the flywheel. If the mass of the flywheel is 3340kg and the steam develops 150KW at 135rpm, then find, 1.Maximum fluctuation of energy 2. Coefficient of fluctuation of energy.
4. A machine supported symmetrically on four springs has a mass of 80 kg. The mass of the reciprocating parts is 2.2 kg which move through a vertical stroke of 100 mm with simple harmonic
motion. Neglecting damping, determine the combined stiffness of the spring so that the force transmitted to foundation is 1/20th of the impresses force. The machine crank shaft rotates at 800
rpm.If under working conditions, the damping reduces the amplitudes of successive vibrations by 30%, find (i) the force transmitted to the foundation at resonance and (ii) the amplitude of vibration at
resonance.
5. A four cylinder vertical engine has cranks 150mm long. The plane of rotation of the first, second and fourth cranks are 400 mm, 200 mm and 200 mm respectively from that of the third crank and their reciprocating masses are 50 kg, 60 kg and 50 kg respectively. Find the mass of the reciprocating parts for the third cylinder and relative angular position of the cranks in order that the engine may be in complete balance.
6. Derive the following expression of effects of partial balancing in two cylinder locomotive engine (i) Variation of tractive force (ii) Swaying couple (iii) Hammer blow.
7. A, B, C and D are four masses carried by a rotating shaft at radii 100 mm, 125 mm, 200 mm and
150 mm respectively. The planes in which the masses revolve are spaced 600 mm apart and the masses of B,C and D are 10 kg, 5kg and 4kg respectively. Find the required mass A and relative angular setting of the four masses so that the shaft be in complete balance.
8. A vertical double acting steam engine has a cylinder 300 mm diameter and 450 mm stroke and runs at 200 rpm. The reciprocating parts has a mass of 225 kg and the piston rod is 50 mm diameter. The connecting rod is 1.2 m long. When the crank has turned through 125° from the top dead center the steam pressure above the piston is 30 kN/m2 and below the piston is 1.5 kN/m^2. Calculate
(i) Crank-pin effort and
(ii) The effective turning moment on the crank shaft.
9. Derive an expression for the natural frequency of the free longitudinal vibration by
(i) (i)Equilibrium method (ii) Energy method (iii)Rayleigh’s method
10.Determine equation of motion when a liquid column vibrating in a ‘U’tube by
(i) Newton’s method (ii) Energy method and hence find its natural frequency
11. The barrel of a large gun recoils against a spring on firing. At the end of the firing, a dashpot is
engaged that allows the barrel to return to its original position in minimum time without oscillation. Gun barrel mass is 400 kg and initial velocity of recoils 1m. Determine spring stuffiness and critical damping coefficient of dashpot.
12. Explain the sketches different cases of damped vibrations.
13. A mass of 10kg is suspended from one end of a helical spring, the other end being fixed. The stiffness of the spring is 10N/mm. The viscous damping causes the amplitude to decreases to one-tenth of the initial value in four complete oscillations. If a periodic force of 150cos50t N is applied at the mass in the vertical direction . Find the amplitude of the forced vibrations? What is its value of resonance?
14.A harmonic exiting force of 25N is acting on a machine part which is having a mass of 2Kg and
vibrating in viscous medium. The exciting force causes resonant amplitude of 12.5 mm with a period of 0.2 sec
15. An industrial machine weighting 445 kg is supported on a spring with a statical deflection of 0.5 cm. If the machine has rotating imbalance of 25kg-cm.Determine the force transmitted at 1200 rpm and the dynamic amplitude at the speed.
16.Explain the effect of Gyroscopic couple on a Naval ship during pitching.
17. The length of the upper and lower arms of a porter governor are 200 mm and 250 mm respectively. Both the arms are pivoted on the axis of rotation. The central load is 150 N, the weight of the each ball is 20 N and the friction of the sleeve together with the resistance of the operating gear is equivalent to a force of 30 N at the sleeve. If the limiting inclinations of the upper arms to the vertical are 30˚ and 40˚ taking friction in to account. Find the range of speed of the governor
18. Calculate the minimum speed of a proell governor, which has equal arms each of 200 mm and are
provided on the axis of rotation. The mass of each ball is 4kg and the central mass on the sleeve is
20kg.The extension arms of the lower links are each 60mm long and parallel to the axis when the
minimum radius of the ball is 100mm.of load.
19. The rotor of a turbine yatch rotates at 1200 rpm clockwise when viewed from stern. The rotor has a mass of 750 kg and radius of gyration of 250 mm. Find the maximum gyroscopic couple transmitted to the hull when yacht pitches with a maximum angular velocity of 1 rad/s. What is the effect of this couple?
Anna University Chennai
Department of Mechanical Engineering
B.E B.Tech Degree Examinations 2015
Fifth Semester
ME2302 Dynamics of Machinery
Important Questions 2015
(Regulation 2008)
Question Paper Semester : 5 / V / Fifth
Question Paper Department : Mechanical
Subject Code of Question Paper: ME2302
Subject Name of Question Paper : Dynamics of Machinery
Type : Important Question Papers
Question Paper Syllabus Regulation : 2008
Question Paper Content Details: Anna University Chennai ME2302 Dynamics of Machinery Important Questions for Nov Dec 2015 Exams
Dynamics of Machinery ME2302 Important Questions for Anna University Examinations
Anna University Chennai Important Questions
ME2302 Dynamics of Machinery
V Sem MECH
Unit I-V
1. The turning moment diagram for a petrol engine is drawn to a scale of 1mm to 6N-9-9m and the
horizontal scale of 1mm to 1˚.The turning moment repeat itself after every half revolution of the engine. The area above and below the mean torque line are 305, 710, 50,350,980and 275mm2. The
mass of rotating parts is 40kg at a radius of gyration of 140mm.Calculate the coefficient of fluctuation of speed if the mean speed is 1500 rpm.
2. For reciprocating engine, derive the expression for (i) Velocity and acceleration of the piston
(ii) Angular velocity and angular acceleration of the connecting rod 3. The radius of gyration of a fly wheel is 1meter and fluctuation of speed is not to exceed 1% of the mean speed of the flywheel. If the mass of the flywheel is 3340kg and the steam develops 150KW at 135rpm, then find, 1.Maximum fluctuation of energy 2. Coefficient of fluctuation of energy.
4. A machine supported symmetrically on four springs has a mass of 80 kg. The mass of the reciprocating parts is 2.2 kg which move through a vertical stroke of 100 mm with simple harmonic
motion. Neglecting damping, determine the combined stiffness of the spring so that the force transmitted to foundation is 1/20th of the impresses force. The machine crank shaft rotates at 800
rpm.If under working conditions, the damping reduces the amplitudes of successive vibrations by 30%, find (i) the force transmitted to the foundation at resonance and (ii) the amplitude of vibration at
resonance.
5. A four cylinder vertical engine has cranks 150mm long. The plane of rotation of the first, second and fourth cranks are 400 mm, 200 mm and 200 mm respectively from that of the third crank and their reciprocating masses are 50 kg, 60 kg and 50 kg respectively. Find the mass of the reciprocating parts for the third cylinder and relative angular position of the cranks in order that the engine may be in complete balance.
6. Derive the following expression of effects of partial balancing in two cylinder locomotive engine (i) Variation of tractive force (ii) Swaying couple (iii) Hammer blow.
7. A, B, C and D are four masses carried by a rotating shaft at radii 100 mm, 125 mm, 200 mm and
150 mm respectively. The planes in which the masses revolve are spaced 600 mm apart and the masses of B,C and D are 10 kg, 5kg and 4kg respectively. Find the required mass A and relative angular setting of the four masses so that the shaft be in complete balance.
(i) Crank-pin effort and
(ii) The effective turning moment on the crank shaft.
9. Derive an expression for the natural frequency of the free longitudinal vibration by
(i) (i)Equilibrium method (ii) Energy method (iii)Rayleigh’s method
10.Determine equation of motion when a liquid column vibrating in a ‘U’tube by
(i) Newton’s method (ii) Energy method and hence find its natural frequency
11. The barrel of a large gun recoils against a spring on firing. At the end of the firing, a dashpot is
engaged that allows the barrel to return to its original position in minimum time without oscillation. Gun barrel mass is 400 kg and initial velocity of recoils 1m. Determine spring stuffiness and critical damping coefficient of dashpot.
12. Explain the sketches different cases of damped vibrations.
13. A mass of 10kg is suspended from one end of a helical spring, the other end being fixed. The stiffness of the spring is 10N/mm. The viscous damping causes the amplitude to decreases to one-tenth of the initial value in four complete oscillations. If a periodic force of 150cos50t N is applied at the mass in the vertical direction . Find the amplitude of the forced vibrations? What is its value of resonance?
14.A harmonic exiting force of 25N is acting on a machine part which is having a mass of 2Kg and
vibrating in viscous medium. The exciting force causes resonant amplitude of 12.5 mm with a period of 0.2 sec
15. An industrial machine weighting 445 kg is supported on a spring with a statical deflection of 0.5 cm. If the machine has rotating imbalance of 25kg-cm.Determine the force transmitted at 1200 rpm and the dynamic amplitude at the speed.
16.Explain the effect of Gyroscopic couple on a Naval ship during pitching.
17. The length of the upper and lower arms of a porter governor are 200 mm and 250 mm respectively. Both the arms are pivoted on the axis of rotation. The central load is 150 N, the weight of the each ball is 20 N and the friction of the sleeve together with the resistance of the operating gear is equivalent to a force of 30 N at the sleeve. If the limiting inclinations of the upper arms to the vertical are 30˚ and 40˚ taking friction in to account. Find the range of speed of the governor
18. Calculate the minimum speed of a proell governor, which has equal arms each of 200 mm and are
provided on the axis of rotation. The mass of each ball is 4kg and the central mass on the sleeve is
20kg.The extension arms of the lower links are each 60mm long and parallel to the axis when the
minimum radius of the ball is 100mm.of load.
19. The rotor of a turbine yatch rotates at 1200 rpm clockwise when viewed from stern. The rotor has a mass of 750 kg and radius of gyration of 250 mm. Find the maximum gyroscopic couple transmitted to the hull when yacht pitches with a maximum angular velocity of 1 rad/s. What is the effect of this couple?
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