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Question

The angular frequency of a spring block system is ω0 This system is suspended from the ceiling of anelevator moving downwards with a constant speed v0. The block is at rest relative to the elevator. Lift issuddenly stopped. Assuming the downwards as a positive direction, choose the wrong statement:
  1. The amplitude of the block is v0ω0
  2. The initial phase of the block is π
  3. The equation of motion for the block is v0ω0sinω0t.
  4. The maximum speed of the block is v0.

A
The equation of motion for the block is v0ω0sinω0t.
B
The amplitude of the block is v0ω0
C
The initial phase of the block is π
D
The maximum speed of the block is v0.
Solution
Verified by Toppr

Since V0 is the maximum speed of the ball in its equilibrium position.
V0=ω0AA=V0ω0
So equation of motion becomes V0ω0=Asinω0t as there was no initial phase in the SHM.
There was no initial phase in the SHM.
Hence B is correct.

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