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A spring mass system is hanging from the...

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

A

the frequency of oscillation is `1/(2pi) sqrt(k/m)`

B

the amplitude of the resulting SHM is `(ma/k)`

C

amplitude of resulting SHM is `(m(g+a)/k`

D

maximum speed of block during oscillation is `(sqrt(m/k))a`

Text Solution

Verified by Experts

The correct Answer is:
A, B, D
(A) Isochronous system :.`=1/(2pi)sqrt(k/m)` (B)
(C) `V_(max)=omegaA`
`=sqrt(k/m)(ma)/k=sqrt(m/k)a`
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Knowledge Check

  • Two blocks of mass 5 kg and 3 kg are attached to the ends of a string passing over a smooth pulley fixed to the ceiling of an elevator. A man inside the elevator accelerated upwards, finds the acceleration of the blocks to be (9)/(32)g . The acceleration of the elevator is

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    C
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    D
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    A
    `14.14 rad//s, 0.07 m`
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    `13 rad//s, 0.1m`
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  • An elevator is accelerating upwards with a constant acceleration a ms^-2 . If a coin is dropped in it by a passenger, then.

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