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  4. The displacement of an object attached to a spring and executing simple harmonic motion is given by x = 2 × 10−2 cos π t metres. The time at which the maximum speed first occurs is

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Q. The displacement of an object attached to a spring and executing simple harmonic motion is given by $x = 2 × 10^{−2}\, cos\, \pi t$ metres. The time at which the maximum speed first occurs is

AIEEEAIEEE 2007Oscillations

Solution:

$x = 2 × 10^{−2}\, cos\, \pi t$
$v = −0.02\pi\, sin\, \pi t$
$v$ is maximum at $t=\frac{1}{2}=0.5\,sec$