Physics, asked by Legend15, 1 year ago

show that in SHM the acceleration is directly proportional to its displacement at the given instant of time. can anyone please tell it in simple words

Answers

Answered by rohit710
3
Simple harmonic motion is charcterized by a restoring force that varies linearly with position. This allows us to write (for the sake of simplicity, I'm going to do this in one dimension)F=−bxF=−bx where the negative sign indicates that it is a restoring force, bb is a proportionality constant, and xx is the displacement from the equilibrium position. If the restoring force is the only force acting in the system, then we can write Fnet=ma=−bxFnet=ma=−bx. So we get: a=−bmxa=−bmx

If we let −bm=c−bm=c then we get a=cxa=cx which shows us that the acceleration is directly proportional to the displacement.

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