Classical Mechanics - Pendulum

Which of the following best illustrates the acceleration of a pendulum bob at points a through e?


(GR0177 #01)
Solution:

The acceleration of pendulum: a = acentripetal + atangential
acent = v2/r = ω2r
atan = αr

At equilibrium (position B): ω = constant
α = /dt = 0
a = acent

At maximum amplitude (position A and C): v = 0
a = atan

At other positions:
a = acent + atan

Answer: C

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