Two balls (point particles) are attached to the end of a rod with a mass of 20 kg and length of 40 m. The mass of each ball is 15 g. What is the total moment inertia of the system if the rod is twisted 90º and rotated at its joint?

Calculate the moment of inertia of the object shown about an axis coming perpendicularly out of the paper, and passing through the leftmost mass. Give: M = 9 kg, L = 2 m, and the connecting rods are mass-less. Treat the masses as point masses.

The person whose leg is shown kicks his leg by exerting a 2000-N force with his upper leg muscle. The effective perpendicular lever arm is 2.20 cm. Given the moment of inertia of the lower leg is 1.25 kg ⋅ m2 , (a) find the angular acceleration of the leg. (b) Neglecting the gravitational force, what is the rotational kinetic energy of the leg after it has rotated through 57.3º (1.00 rad)?

Question 5 only.......

Yo-Yo man releases a yo-yo from rest and allows it to drop, as he keeps the topend of the string stationary. The mass of the yo-yo is 0.059 kg, its moment of inertia is2.5 * 10–5 kg · m2, and the radius r of the axle the string wraps around is 0.0068 m. Whatis the linear speed v of the yo-yo after it has dropped through a height of h = 0.50 m?

The three 160 g masses in (Figure 1) are connected by massless, rigid rods. a) What is the triangle’s moment of inertia about the axis through the center?  b) What is the triangle’s kinetic energy if it rotates about the axis at 5.2 rev/srev/s ? Express your answer with the appropriate units.

A small, heavy mass is at the end of a thin rod with negligible mass. If the mass is 6.4 kg, the rod is 0.56 meters long, and the rod is pivoting around the end opposite the mass, what is the moment of inertia of the rod and mass?

In the figure, two 6.90 kg blocks are connected by a massless string over a pulley of radius 1.10 cm and rotational inertia 7.40 x 10-4 kg-m². The string does not slip on the pulley; it is not known whether there is friction between the table and the sliding block; the pulley's axis is frictionless. When this system is released from rest, the pulley turns through 0.900 rad in 148 ms and the acceleration of the blocks is constant. What are (a) the magnitude of the pulley's angular acceleration, (b) the magnitude of either block's acceleration, (c) string tension T1, and (d) string tension T2? Assume free-fall acceleration to be equal to 9.81 m/s?. (a) Number i Units (b) Number Units (c) Number Units (d) Number Units >

A 1.0-kg mass hangs on a rope wrapped around a frictionless disk pulley of mass 5 kg and radius 0.5 m. What is the acceleration of the mass? (The moment of inertia of the pulley is 1/2MR2.)

The object shown below is centered on the origin, and has a width of 20 cm in the x direction, 3 cm in the y direction, and 5 cm in the z direction. Around which axis does it have the lowest moment of inertia l?