A swinging rod of mass makes a physical pendulum as the rod has a mass of 0.61kg and length 0.86m around its end. The mass of the rod is distributed along its length uniformly. Assume the amplitude of the swing is ?max = 14.67 degrees

Most injuries to the shoulder will require rehab and physical therapy. Pendulum exercises are a great way to increase strength and improve flexibility and range of motion in an injured shoulder. Here, the patient bends forward until their back is horizontal. The injured arm is hung vertically downward and is allowed to swing freely back and forth like a pendulum (see the figure). Treat the arm (length of 69 cm) in the figure as a physical pendulum – a uniform rod rotating about an axis through one of its ends – and calculate the period of the arm’s small oscillations.

A thin uniform rod (mass = 0.24 kg) swings about an axis that passes through one end of the rod and is perpendicular to the plane of the swing. The rod swings with a period of 1.1 s and an angular amplitude of 9.6°. (a) What is the length of the rod? (a) What is the maximum kinetic energy of the rod as it swings?

The 2.50 kg cube in the figure has edge lengths d= 7.80 cm and is mounted on an axle through its center. A spring (k = 1450 N/m) connects the cube's upper corner to a rigid wall. Initially the spring is at its rest length. If the cube is rotated 3.00° and released, what is the period of the resulting SHM? Number i Units WORKKA k