A rotating disk is moving with a constant angular velocity. A hoop is dropped on the disk such at it also rotates about its center. Derive the equation for the new angular velocity.

A rotating disk is moving with a constant angular velocity. A hoop is dropped on the...
A rotating disk is moving with a constant angular velocity. A hoop is dropped on the disk such at it also rotates about its center. Derive the equation for the new angular velocity.
A rotating disk with a hoop is moving with a constant angular velocity. Derive the equation for the moment of inertia.
A rotating disk with a hoop is moving with a constant angular velocity. Derive the equation for the moment of inertia.
A rotating disk with a hoop is moving with a constant angular velocity. Derive the equation for the moment of inertia.
A disk of mass M and radius R is rotating with an angular velocity ω. A rod also of mass M but length 2R is initially not rotating. It is dropped vertically onto the rotating disk. After the collision, the disk and rod rotate together with an angular velocity of? What fraction of the initial kinetic energy was lost in the collision?
A disk of radius 1.5m initially at rest begins rotating about its center with constant angular acceleration of 0.2 rad/s2. Calculate the following: a) The angular velocity of the disk after 4s. b) The linear velocity of a point on the rim of the disk after 4s. c) The amount of rotation after 4s.
A solid disk rotates in the horizontal plane at an angular velocity of 0.0612 rad/s with respect to an axis perpendicular to the disk at its center. The moment of inertia of the disk is 0.134 kg·m2. From above, sand is dropped straight down onto this rotating disk, so that a thin uniform ring of sand is formed at a distance of 0.398 m from the axis. The sand in the ring has a mass of 0.509 kg. After all...
A solid disk rotates in the horizontal plane at an angular velocity of 0.0647 rad/s with respect to an axis perpendicular to the disk at its center. The moment of inertia of the disk is 0.199 kg·m2. From above, sand is dropped straight down onto this rotating disk, so that a thin uniform ring of sand is formed at a distance of 0.420 m from the axis. The sand in the ring has a mass of 0.499 kg. After all...
A solid disk rotates in the horizontal plane at an angular velocity of 0.056 rad/s with respect to an axis perpendicular to the disk at its center. The moment of inertia of the disk is 0.059 kg·m2. From above, sand is dropped straight down onto this rotating disk, so that a thin uniform ring of sand is formed at a distance 0.34 m from the axis. The sand in the ring has a mass of 0.54 kg. After all the...
A solid disk rotates in the horizontal plane at an angular velocity of 5.00 × 10-2 rad/s with respect to an axis perpendicular to the disk at its center. The moment of inertia of the disk is 0.15 kg.m2. From above, sand is dropped straight down onto this rotating disk, so that a thin uniform ring of sand is formed at a distance of 0.40 m from the axis. The sand in the ring has a mass of 0.50 kg....