A pendulum is made by attaching a 4.00 kg mass to the end of a thin, massless rod. The period of small-amplitude oscillations of the pendulum is 1.00 sec. What is the length of the rod?

A grandfather clock uses a physical pendulum to keep time. The pendulum consists of a uniform thin rod of mass M = 1.61 kg and length L = 0.153 m that is pivoted freely about one end, with a solid disk of mass 3M and a radius of L4𝐿4 attached to the free end of the rod.  Determine the length L that gives a period of T = 2.45 s.

A thin uniform rod of length 3.00 m3.00 m executes simple harmonic oscillations like a physical pendulum with minimum time period. If the effective length of pendulum is x−−√ m𝑥 m. Find the value of x𝑥.

Consider a physical pendulum constructed by attaching a thin, massless rod to the center of a uniform disc of mass 1.00 kg and radius 40.0 cm. The disc has a moment of inertia of ½ MR2 about an axis perpendicular to the plane of the disc, through its center. With the rod hung from one end (the pivot), the plane of the disc (attached to the other end) is vertical. If the rod has a length of 50.0 cm, then the period of (small amplitude) oscillations of the pendulum will be

A pendulum consists of a 4.00 kg mass suspended at the end of a 75.0 cm thin, massless rod. The pendulum is released from an angle of 20.0 degrees with the vertical. What is the velocity of the pendulum as it passes through the origin?

If the period of oscillation of a simple pendulum is 4s, find its length. If the velocity of the bobat the mean position is 40cms−1, find its amplitude. (take gravity = 9.81ms−2)