A uniform solid sphere has mass M and radius R.  If these are changed to 4M and 4R, by what factor does the sphere's moment of inertia change about a central axis?

An object's moment of inertia is 2.50 kgxm^2 . Its angular velocity is increasing at the rate of 3.30 rad/s^2 . What is the net torque on the object?

Three forces are applied to a solid cylinder of mass 12 kg (see the drawing). The magnitudes of the forces are F4 = 15 N, F2 = 24 N, and F3 = 17 N. The radial distances are R2 = 0.22 m and R3 = 0.10 m. The forces F2 and F3 are perpendicular to the radial lines labeled R2 and Rs. The moment of inertia of the cylinder is - VR, Find the magnitude of the angular acceleration of the cylinder about the axis of rotation.

The wheels of a wagon can be approximated as the combination of a thin outer hoop, of radius r = 0.262 m and mass 5.65 kg, and two thin crossed rods of mass 8.23 kg each. A farmer would like to replace his wheels with uniform disks ta = 0.0462 m thick, made out of a material with a density of 6910 kg per cubic meter. If the new wheel is to have the same moment of inertia about its center as the old wheel about its center, what should the radius of the disk be? rd = m

The figure below shows a side view of a car tire before it is mounted on a wheel. Model it as having two sidewalls of uniform thickness 0.600 cm and a tread wall of uniform thickness 2.50 cm and width 19.8 cm. Assume the rubber has a uniform density 1.10 x 10³ kg/m³. Find its moment of inertia about an axis perpendicular to the page through its center. 0.082 x Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. kg - m² 33.0 cm 30.5 cm 16.5 cm Sidewall Tread

An empty beer can has a mass of 17 g, a length of 14 cm, and radius of 3.4 cm. Find the moment of inertia of the can about its axis of symmetry. Assume that the can is a perfect cylinder of sheet metal with no ridges, indentations, or holes.

(a)What is the moment of inertia (in kg · m2) of the system about the given axis?  kg · m2 (b)If the system rotates at 4.6 rev/s, what is its rotational kinetic energy (in J)?  J

A circular disk with a radius of 0.38 m is subject to 2 tangentially applied forces. The disc is fixed such that it will rotate about its center. Both forces produce a torque in the same direction. The mass of the disc is 0.73 kg. The moment of inertia of a disc is I = 1/2 MR^2 F1 = 2.3 N applied at the outer edge of the disc. F2 = 3.6 N applied at a distance of 0.29 from the center of the disc. What is the angular acceleration of the disc?

A circular disk with a radius of 0.5 m is subject to 2 tangentially applied forces. The disc is fixed such that it will rotate about its center. Both forces produce a torque in the same direction. The mass of the disc is 0.69 kg. The moment of inertia of a disc is I MR² = F₁ = 2.6 N applied at the outer edge of the disc. F₂ = 4 N applied at a distance of 0.26 from the center of the disc. What is the angular acceleration of the disc?

what is the angular momentum of the of the Sun? It has a mass of 1.99 x 1030 kg. It has a radius of 696.3 x 106 m. It rotates with a linear velocity of 2200 m/s.