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Question

A spring of spring constant K is hanging from the ceiling of an elevator and an object of mass m is attached to the lower end. Whole system is in equilibrium at rest. The elevator starts moving upward with constant acceleration g. An observer in elevator frame observes that
i) Object is performing SHM of amplitude mgK
ii) Object comes to rest after displacement of mgK downward from initial position
iii) Maximum displacement of object from initial position is 3mgK
(downward)
iv) Maximum displacement of object from initial position is mgK (upward)



A

(i) and (ii)

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B

(ii) and (iv)

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C

Only (iii)

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D

(iii) and (iv).

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Solution

The correct option is C

(iii) and (iv).


2mg(x2x1)=12K(x22x21)(x2x1)=4mgKx2=3mgK
Hence (iii) and (iv)


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