The weight of an empty railway vehicle is 330 kN. On loading it with goods weighing 380 kN, its spring gets compressed by 21 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 80 mm from statically equilibrium position. Also calculate the maximum acceleration 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 80 mm from statically equilibrium position in m/s is.

The weight of an empty railway vehicle is 330 kN. On loading it with goods weighing 380 kN, its spring gets compressed by 21 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 80 mm from statically equilibrium position. Also calculate the maximum acceleration 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 80 mm from statically equilibrium position in m/s is.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Concept explainers

Free undamped vibrations

Whenever an object/system displaces in either side of its equilibrium position with the help of an external/internal means, then the object/system moves regularly or randomly on both sides of its equilibrium position. This motion is called vibration. Generally, there are three types of vibration: longitudinal vibration, transverse vibration, and torsional vibration.

Question

The weight of an empty railway vehicle is 330 kN. On loading it with goods weighing 380 kN, its spring gets compressed by 21 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 80 mm from statically
equilibrium position. Also calculate the maximum acceleration
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 80 mm from statically equilibrium position in m/s is.
The acceleration of the vehicle when its displacement is 80 mm from statically equilibrium position in m/s? is
The maximum acceleration of the vehicle in m/s? is

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