A pendulum of length L = 1.03 m has a bob of mass M = 121 g. The pendulum\'s max

Question

A pendulum of length L = 1.03 m has a bob of mass M = 121 g. The pendulum's maximum angular deviation from the vertical is max-339 Ignore air resistance as it swings, and use the gravitational acceleration g = 9.8 m/s2 for the following questions (a) Without using the small angle approximation, calculate the magnitude of the restoring force on the pendulum bob along the trajectory when the bob is at its maximum deviation (b) This time, use the small angle approximation and calculate the magnitude of the acceleration of the pendulum bob along its trajectory when the bob is at its maximum deviation. m/s

Explanation / Answer

restoring force Fr = m*g*sintheta

m = mass = 121 g = 121*10^-3 kg

g = 9.8 m/s^2

theta = 33 degrees

Fr = 121*10^-3*9.8*sin33

Fr = 0.646 N

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(b)

acceleration a = g*theta

theta = 33 degrees = 33*pi/180 = 0.58 rad

acceleration a = 9.8*0.58 = 5.684 m/s^2

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