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Question

A spring mass system is hanging from the ceiling of an elevator in equilibrium. The elevator suddenly starts accelerating upwards with accelerating a, consider all the options in the reference frame of elevator.

A
the frequency of oscillation is 12πkm
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B
the amplitude of the resulting SHM is mak
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C
amplitude of resulting SHM is m(g+a)k
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D
maximum speed of block during oscillation is (mk)a
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Solution

The correct option is B the amplitude of the resulting SHM is mak
Frequency =2π(m/k) frequecy is independent of g in spring
Extension in spring in equilibrium
initial =mgk
Extension in spring in equilibrium in accelerating lift m(g+a)
Amplitude =m(g+a)kmgk=mak

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