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PHYA4 simple harmonic motion question

http://filestore.aqa.org.uk/subjects/AQA-PHYA4-2-QP-JUN13.PDF

Question 1) b) ii)

You're asked to calculate the acceleration.

They appear to use the formula a = (2 x pi x f)^2 x A

but isn't this formula supposed to be the maximum acceleration? how do you know that it is the maximum?
Reply 1
Maximum acceleration is when the pendulum is stationary (at maximum displacement). That means that the amplitude is 42 x 2 = 84mm.
a=-(2πf)2x

x is the displacement from the equilibrium point

for a given pendulum in SHM the acceleration is always the same at displacement x whatever the amplitude of the oscillation... because the condition for SHM is a restoring force proportional to displacement (but opposite in direction)
(edited 8 years ago)

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