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Question

The position x of particle moving along x- axis varies with time t as x= A sin$$(\omega t)$$ where A and $$\omega $$ are positive constants. The acceleration a of particle varies with its position (x) as


A
a=Ax
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B
a=ω2x
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C
a=Aωx
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D
a=ω2xA
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Solution

The correct option is C a=$$ - {\omega ^2}x$$
Given, $$x=Asin(\omega t)$$
$$\Rightarrow v= A\omega cos( \omega t)$$
$$\Rightarrow a= -A\omega^2 sin(\omega t)$$  $$\Rightarrow a= -\omega^2 x$$

Physics

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