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

Question

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 (A) 0.5 s (B) 0.75 s (C) 0.125 s (D) 0.25 s

Tardigrade Admin · Accepted Answer

x = 2 Ã 10â2 cos π t v = â0.02π sin π t v is maximum at t=(1/2)=0.5 sec

Q. The displacement of an object attached to a spring and executing simple harmonic motion is given by $x = 2 \times 1 0^{- 2} cos π t$ metres. The time at which the maximum speed first occurs is

$0.5 s$

$0.75 s$

$0.125 s$

$0.25 s$

$x = 2 \times 1 0^{- 2} cos π t$
$v = - 0.02 π s in π t$
$v$ is maximum at $t = \frac{1}{2} = 0.5 sec$

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

0.5s

0.75s

0.125s

0.25s