A pendulum of mass 5.0 hangs in equilibrium. A frustrated student walks up to it and kicks the bob with a horizontal force of 30.0 . What is the maximum angle of displacement of the swinging pendulum? How long does the pendulum have to be to have a period of 5.0 co

a. 37.75°

b. 6.21 m

Explanation:

a. The horizontal force acting on a pendulum bob is given as:

F = mgsinθ

where m = mass of bob

g = acceleration due to gravity

θ = angle string makes with the vertical or angle of displacement

Making θ subject of formula, we have:

θ =

θ =

θ = 37.75°

The maximum angle of displacement is 37.75°

b. Period of a pendulum is given as:

where L = length of string

Therefore, making L subject of formula:

The string holding the pendulum has to be 6.21 m long.