Does the mass of the bob affect the amount of times the pendulum will oscillate?
Mass of the pendulum does not have any effect on the number (or amount) of times it will oscillate in a given time duration. The number of times a bob will oscillate is known as its frequency and is calculated as the inverse of time period of the bob. The time period of the pendulum is mathematically given as:
`T = 2pi sqrt(L/g)`
where, T is the time period of pendulum, L is length of the pendulum (distance from the fixed point) and g is acceleration due to gravity.
Hence, the amount or number of times a pendulum will oscillate (i.e., its frequency) will be given as:
`f = 1/T = (1/(2pi))sqrt(g/L)`
A pendulum when released from position of rest oscillates due to the pull exerted by the earth's gravity. And it has no relation to the mass of the pendulum and hence a 2 lb ball will have the same frequency as a 200 lb wrecking ball, provided the same length.
Hope this helps.