Question

134 Motion in a Straight Line
20. The position x of particle moving along x-axis varies
with time t as x = Asin (ot) where A and o are
positive constants. The acceleration a of particle
varies with its position (x) as​

Answer 1

Answer:

a=w^2x...

Explanation:

Given that x=Asin(wt).

now if we differentiate wrt time .

DX/dt=wAcos(wt).

again differentiate.

d2x/dt2=-w^Asin(wt)..here d2x/dt2=acceleration....

put value of x.

a=-w^2x...where w is constant