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13.Oscillations
medium
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
A
$x = 0.16\cos (\pi t)$
B
$x = - \,0.16\cos (\pi t)$
C
$x = 0.16\sin (\pi t + \pi )$
D
$x = - \,0.16\sin (\pi t + \pi )$
Solution
(b) Standard equation for given condition
$x = a\cos \frac{{2\pi }}{T}t$
==> $x = – 0.16\cos (\pi \,t)$ [As $a = -0.16$ meter, $T = 2\, sec$]
Standard 11
Physics
