(II) A musician wishes to construct a metronome based on a simple pendulum design where a “beat” is sounded when the bob reaches each opposite extreme of its swing. How long must the pendulum be so that this metronome is set for 104 bpm (bpm = beats per minute)?

(II) A clock pendulum oscillates at a frequency of 2.5 Hz. At t = 0, it is released from rest starting at an angle of 12° to the vertical. Ignoring friction, what will be the position (angle in radians) of the pendulum at

(a) t = 0.25 s?

(III) A simple pendulum oscillates with an amplitude of 10.0°. What fraction of a period does it spend between + 8.0 ° and ― 8.0° ? Assume SHM.

A simple pendulum oscillates with frequency ƒ What is its frequency if the entire pendulum accelerates at 0.35 g

(a) upward ?

The length of a simple pendulum is 0.72 m, the pendulum bob has a mass of 295 g, and it is released at an angle of 12° to the vertical. Assume SHM.

(a) With what frequency does it oscillate?