A spring of spring constant 200 N m - 1 has a block of mass 1 kg hanging at its one end and from another end, spring is attached to a ceiling of an elevator. The elevator rising upwards with an acceleration of g 3 . When acceleration suddenly ceases, then angular velocity and elongation during the time when the elevator is accelerating

Question

A spring of spring constant 200 N m - 1 has a block of mass 1 kg hanging at its one end and from another end, spring is attached to a ceiling of an elevator. The elevator rising upwards with an acceleration of g 3 . When acceleration suddenly ceases, then angular velocity and elongation during the time when the elevator is accelerating, 14 . 14 rad s - 1 , 0 . 07 m, 13 rad s - 1 , 0 . 1 m, 14 rad s - 1 , 0 . 05 m, 10 rad s - 1 , 0 . 07 m

MARKS App · Accepted Answer

The angular frequency under all circumstances is ω = k m = 2 0 0 1 = 1 4 . 1 4 rad / s When elevator is moving up, using NLM T - mg = mg 3 ⇒ T = 4 mg 3 This tension elongates the spring by x T = kx ⇒ x = 4 mg 3 k = 0 . 0 7 m

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