Which of the following relationships between the acceleration a and the displacement x of a particle involve simple harmonic motion?
(a) a = 0.7x
(b) a = –200x2
(c) a = –10x
(d) a = 100x3
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Concept :- condition of SHM .
acceleration is directly proportional to negative of displacement of particle.
I mean if a is acceleration
x is displacement
Tnen, for SHM ,
a = -Kx where K is constant .
(a) a = 0.7x
This is not in the form of a = -Kx .
So, this is not SHM
(b) a = -200x²
Clearly this is also not SHM .
(c) a = -10x
This is SHM because this is in the form of a = -Kx .
(d) a = 100x³
It's clear it is not SHM.
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