Question

Which one of the following equations of motion represents simple harmonic motion?(a) Acceleration = – k(x + a)(b) Acceleration = k(x + a)(c) Acceleration = kx(d) Acceleration = – k₀x + k₁x²where k, k₀, k₁ and a are all postive.

Answer 1

We know that an object suspended from a spring with a force constant

F = -k x executes S.H.M.

F = m a     where a is the acceleration.

So m a = - k x   and a = - (k / m) x

Only options (a) and (d) include the minus sign.

And only (a) has the acceleration proportional x.

I think that a in (x + a) just represents a constant and some other letter

could be used to eliminate confusion. Shifting the equilibrium position to

x = -a then would eliminate that constant giving acceleration = - k x.

Answer 2

Answer:

opt:a acceleration = -k(x+a)

Explanation:

refer attachment for simple method.

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hope this helps:)

pls mark brainliest