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:
A
The amplitude of the block is ω0v0
B
The initial phase of the block is π
C
The equation of motion for the block is ω0v0sinω0t.
D
The maximum speed of the block is v0.
Hard
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Updated on : 2022-09-05
Solution
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Correct option is B)
Since V0 is the maximum speed of the ball in its equilibrium position.
∴V0=ω0AA=ω0V0
So equation of motion becomes ω0V0=Asinω0t as there was no initial phase in the SHM.