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The weight of an empty railway vehicle is 330 kN. On loading it with goods weighing 450 kN, its spring gets compressed by 34 cm. (a) Calculate its natural period of vibrations when the vehicle is (i) empty and (ii) loaded as above. (b) It is set into natural vibrations with an amplitude of 180 mm when loaded. Calculate the velocity and acceleration of the vehicle when its displacement is 20 mm from statically equilibrium position. Also calculate the maximum acceleration (Enter only the values in the boxes by referring the units given . Also upload the hand written copy in the link provided) The natural period of vibrations when the vehicle is empty in seconds is The natural period of vibrations when the vehicle is loaded in seconds is The velocity of the vehicle when its displacement is 20 mm from statically equilibrium position in m/s is. The acceleration of the vehicle when its displacement is 20 mm from statically equilibrium position in m/s2 is The maximum acceleration of the vehicle in m/s² is

The weight of an empty railway vehicle is 330 kN. On loading it with goods weighing 450 kN, its spring gets compressed by 34 cm. (a) Calculate its natural period of vibrations when the vehicle is (i) empty and (ii) loaded as above. (b) It is set into natural vibrations with an amplitude of 180 mm when loaded. Calculate the velocity and acceleration of the vehicle when its displacement is 20 mm from statically equilibrium position. Also calculate the maximum acceleration (Enter only the values in the boxes by referring the units given . Also upload the hand written copy in the link provided) The natural period of vibrations when the vehicle is empty in seconds is The natural period of vibrations when the vehicle is loaded in seconds is The velocity of the vehicle when its displacement is 20 mm from statically equilibrium position in m/s is. The acceleration of the vehicle when its displacement is 20 mm from statically equilibrium position in m/s2 is The maximum acceleration of the vehicle in m/s² is

Classical Dynamics of Particles and Systems
Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter12: Coupled Oscillations
Section: Chapter Questions
Problem 12.10P
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The weight of an empty railway vehicle is 330 kN. On loading it with goods weighing 450 kN, its spring gets compressed by 34 cm. (a) Calculate its natural period of vibrations when the vehicle is (i) empty and (ii) loaded as above. (b) It is set into natural vibrations with an amplitude of 180 mm when loaded. Calculate the velocity and acceleration of the vehicle when its displacement is 20 mm from statically equilibrium position. Also calculate the maximum acceleration (Enter only the values in the boxes by referring the units given . Also upload the hand written copy in the link provided) The natural period of vibrations when the vehicle is empty in seconds is The natural period of vibrations when the vehicle is loaded in seconds is The velocity of the vehicle when its displacement is 20 mm from statically equilibrium position in m/s is. The acceleration of the vehicle when its displacement is 20 mm from statically equilibrium position in m/s2 is The maximum acceleration of the vehicle in m/s² is
Transcribed Image Text:The weight of an empty railway vehicle is 330 kN. On loading it with goods weighing 450 kN, its spring gets compressed by 34 cm. (a) Calculate its natural period of vibrations when the vehicle is (i) empty and (ii) loaded as above. (b) It is set into natural vibrations with an amplitude of 180 mm when loaded. Calculate the velocity and acceleration of the vehicle when its displacement is 20 mm from statically equilibrium position. Also calculate the maximum acceleration (Enter only the values in the boxes by referring the units given . Also upload the hand written copy in the link provided) The natural period of vibrations when the vehicle is empty in seconds is The natural period of vibrations when the vehicle is loaded in seconds is The velocity of the vehicle when its displacement is 20 mm from statically equilibrium position in m/s is. The acceleration of the vehicle when its displacement is 20 mm from statically equilibrium position in m/s2 is The maximum acceleration of the vehicle in m/s² is
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