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
B
a=ω2x
C
a=Aωx
D
a=ω2xA

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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