For the simple harmonic motion equation d = 5sin(2pi t), what is the maximum displacement from the equilibrium position?

d=

Step-by-step explanation:

The given simple harmonic motion equation is given as:

d=

Differentiating the above equation with respect to t, we have

Now, equating , we have

Also, differentiating again with respect to t, we get

⇒

Therefore, at t=, d= will have maximum displacement.

⇒d=

⇒d=

⇒d=

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