Question

A simple pendulum has a mass of 0.650 kg and a length of 6.00 m. It is displaced through an angle of 9.0° and then released. Using the analysis model of a particle in simple harmonic motion, calculate the following. (Give your answer to the thousandths place.)
A)What is the maximum speed of the bob?
(b) What is the maximum angular acceleration of the bob?
(c) What is the maximum restoring force of the bob?
(d) Solve parts (a)through (c) by using other analysis models. (Hint: you may need to use separate analysis models for each part.)

Answer 1

a) use conservation of energy to calculate the speed.
\[mgh=mv^2/2\]
\[h=l(1-cos(\theta))\]
us h from 2 in fisrst equation to find v

Answer 2

b) use Newtons 2 law to calculate the acceleration:
\[ma=mg\sin{\theta}\]
then angular acceleration:
\[\alpha=a/l\]