Which of the following expressions corresponds to simple harmonic motion along a straight line, where x is the displacement and a, b, c are positive constants?
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a
a+bx-cx2
b
bx2
c
a-bx+cx2
d
-bx
answer is D.
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Detailed Solution
In linear S.H.M., the restoring force acting on particle should always be proportional to the displacement of the particle and directed towards the equilibrium position. i.e., F∝x ∴ F=−bx where b is a positive constant.