Two particles of masses M1=2Kg and M2=3Kg are attached to the ends of a 2.4 meter long light (massless) rigid rod. The system is rotated at a constant angular speed of 12 rad/s (radians per second) about an axis perpendicular to the rod and passing through its center.  The angular momentum of system is given by

The figure shows a small piece of clay colliding into a disk. The disk is initially at rest, but can rotate about a pivot fixed at its center. The collision is completely inelastic.1) The disk has mass M = 4.73 kilograms and radius R = 0.755 meters. The clay has mass m = 279 grams and is moving horizontally at vi = 3.66 m/s just before colliding with and sticking to the disk. The clay strikes the edge of the disk at a location of b = 0.505 meters offset from the center of the disk. Note that the size of the clay is negligible compared to the radius of the disk. 2) Calculate the angular velocity (rad/s) of the disk just after the collision.

1. A 1571-mg particle is located at the point r = -75.3 cm i - 1876.3 mm j - 63.9 dm k and is moving at a velocity " = -73.1 km/s i - 82.5 hm/s j- 123.4 m/s k. What is the angular momentum (Vector Form and Magnitude) of this particle about the origin?

A woman with mass 50 kg is standing on the rim of a large horizontal disk that is rotating at 0.80 rev/s about an axis through its center. The disk has mass 110 kg and radius 4.1 m. Calculate the magnitude of the total angular momentum of the woman–disk system. (Assume that you can treat the woman as a point.)

A sanding disk with rotational inertia 0.0012 kg-m2 is attached to an electric drill whose  motor delivers a torque of magnitude 15 N-m about the central axis of the disk.  About that axis and with a torque applied for 48 millisecond, what is the magnitude of the angular momentum?

Assume Earth is approximately a uniform, solid sphere that has a mass of 5.98×10^24 kg and a radius of 6.38×10^6 m. Calculate the angular momentum ?? of Earth as it spins on its central axis once each day. ??=   kg·m2/s

3. A person (treated as a red point object) of mass m₁ 50 kg is attached to a rod of length L = 1 m and mass M = 20 kg. Together, they are rotating counterclockwise around a pivot (green), with angular speed w = 2 rad/s: m2 = M, L Vo = m1 A ball (purple point object) of mass m₂ = 5 kg is thrown with speed vo 30 m/s at the person, who catches the ball just as the bar is oriented horizontally during its rotation (as seen in the figure). If the bar and person are stationary after the catch, how far away from the pivot was the ball thrown (that is, what is the length of the dashed black line)? Hint: Use the conservation of angular momentum.

A disk of mass 35 kg and radius 23 cm is rotating with an angular speed of 77 rad/s about its central axis. What would be its angular speed if its radius suddenly doubled without changing its mass? (in rad/s O 15.25 O 58.75 O 22.65 O 19.25 O 24.85