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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 makFrequency =2π(m/k) frequecy is independent of g in springExtension in spring in equilibriuminitial =mgkExtension in spring in equilibrium in accelerating lift m(g+a)Amplitude =m(g+a)k−mgk=mak

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