Categories > Oscillations > Spring mass system > A mass $m =100 gms$ is attached at the end of a light spring which oscillates on a frictionless horizontal table with an amplitude equal to $0.16$ metre and time period equal to $2$ sec. Initially the mass is released from rest at $t = 0$ and displacement $x=-0.16$ metre. The expression for the displacement of the mass at any time $t$ is

Oscillations

Question: A mass $m =100 gms$ is attached at the end of a light spring which oscillates on a frictionless horizontal table with an amplitude equal to $0.16$ metre and time period equal to $2$ sec. Initially the mass is released from rest at $t = 0$ and displacement $x=-0.16$ metre. The expression for the displacement of the mass at any time $t$ is


1) $x=0.16\cos (\pi t)$
2) $x=-\,0.16\cos (\pi t)$
3) $x=0.16\sin (\pi t+\pi )$
4) $x=-\,0.16\sin (\pi t+\pi )$
Solution: Explanation: No Explanation
Spring mass system combination of springs

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