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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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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