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Simple Harmonic Motion - Multiple Choice Questions

Q19. The graph shows the variation in displacement with time for an object moving with simple harmonic motion.

What is the maximum acceleration of the object?

A 0.025 m s–2

B 00.99 m s–2

C 002.5 m s–2

D 009.8 m s–2

Maximum acceleration = (2πf)2A - from the data sheet

From the graph:

A = 10 x 10-2 m

T = 2 s

Now f = 1/T = 0.5 Hz

So, amax = (2π x 0.5)2 x 10 x 10-2

amax = π2 x 10 x 10-2 = 0.987m s–2 - choice B