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The angular frequency of a spring block ...

The angular frequency of a spring block system is `omega_(0)`. This system is suspeded from the ceilling of an elevator moving downwards with a constant speed `v_(0)`. The block is at reast realtive to the elevator. Lift is suddenly stopped. Assuming the downward as a positive direction, choose the wrong statement :

A

The amplitude of the block is`(v_(0))/(omega_(0))`

B

The initial phase of the block is `(pi)/(2)`

C

The equation of motion for the block is `(v_(0))/(omega_(0))sinomega_(0)t`

D

The maximum speed of the block is `v_(0)`

Text Solution

Verified by Experts

The correct Answer is:
B

Initial phase of the block is zero as it is mean position `Rightarrow (1)/(2)mV_(0)^(2)=(1)/(2)kA^(2) Rightarrow A=(V_(0))/(omega_(0))`
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