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A spring of spring constant 200N//m has ...

A spring of spring constant `200N//m` has a block of mass `1kg` hanging at its one end and other end of spring is attached to ceiling of an elevator. The elevator is rising upwards with an acceleration `g//3`. What should be the angular frequency and elongation during the time when the elevator is accelerating?

A

`14.14 rad//s, 0.07 m`

B

`13 rad//s, 0.1m`

C

`14 rad//s, 0.05`

D

`10rad//s, 0.07`

Text Solution

Verified by Experts

The correct Answer is:
A

The angular frequency under all circunstances is ` omega = sqrt(((K)/(m)))`. When elevator is moving up, the equation of motion `T = m(g +a)`
elongation in the spring `x = (F)/(K) = (T)/(K)`
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