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>>Class 11
>>Physics
>>Oscillations
>>Velocity and Acceleration in SHM
>> $The time period of oscillation of a part$

Question

The time period of oscillation of a particle in S.H.M. is $π$ sec. If its acceleration at extreme position $1 m$ $s^{- 2}$ , its velocity at mean position is

A

$0.5 m s^{- 1}$

B

$2 m s^{- 1}$

C

$π / 2 m s^{- 1}$

D

$π m s^{- 1}$

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Updated on : 2022-09-05

Solution

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Correct option is A)

$T = π s e c$
$ω = \frac{2 π}{π} = 2 \frac{r a d}{s e c}$
$a = 1 \frac{m}{s ^{2}}$
$a = - ω^{2} A; A = \frac{1}{4} m$
$v_{m a x} = ω A = 2 \times \frac{1}{4} = 0.5 \frac{m}{s}$

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