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A mass of 0.5 kg is hung from a spring....

A mass of 0.5 kg is hung from a spring. Agradually increasing 0.5 N force is reuired topull the mass downward a distance of 0.25 m from its equilibrium position,if the mass s then released from this position, find
(a) The total energy of the system .
(b) The frequency of the oscillation
(c ) The speed and acceleration of the mass as it passes the equilibrium position.
(d) The speed and acceleration of the mas when the diplacement from equilibrium is 0.25 m
(e) For the initial condition stated, write down the diplacement equation of motion for this mass.

Text Solution

Verified by Experts

(a) 0.0625J,
(b) `(1)/(pi) Hz`
(c ) 0.5 m//s and 0,
(d) 0 and `1 m//s^(2)
(e ) `0.25 cos ( 2t)`
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