Test: Linear Vibration Analysis - 1 - Mechanical Engineering MCQ

The equation of free vibration in a system is

x + 49π²x = 0 

Its natural frequency is

A 32 kg block is attached to a spring and can move without friction in a slot as shown.The block is in its equilibrium position when it is struck by a hammer, which imparts to the block an initial velocity of 250 mm/s.What is the amplitude of motion?

 A 12 kg block is supported by the spring shown. If the block is moved horizontally rightward from its equilibrium position and released with its amplitude of 50 mm, what is the maximum velocity of block?

A 5 kg block, attached to the lower end of a spring whose upper end is fixed, vibrates with a period of 6.8 s. What is the period'of vib ration of a 3 kg block which is attached-to the center of the same spring if the upper and lower ends of the spring are fixed?

When there is a reduction in amplitude over every cycle of vibration, then the body is said to have

Block ‘A ’ of mass m is s upported by the spring arrangement as shown. If the mass of pulley is negligible and block is moved vertically downward from its equilibrium position and released, what is the frequency of motion?

The period of vibration of the system shown is observed to be 0.8s. If block lA' is removed, the period is observed to be 0.7s. What is the mass of block ‘C’?