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The position of x particle moving along x-axis varies with time t as x=Asin(wt) where A and w are positive constants. The acceleration a of particle varies with its position x as

The position of x particle moving along x-axis varies with time t as x=Asin(wt) where A and w are positive constants. The acceleration a of particle varies with its position x as

Grade:11

1 Answers

Tanishk Taneja
11 Points
6 years ago
After double differentiating the given equation we get the acceleration ,i.e d²x/dt²=A(w²)×-sin(wt) =-(w²)×Asin(wt)But we know that Asin(wt) =x,Therefore, answer is a=-w²x

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