Find the magnitude of the angular momentum of the second hand on a clock about an axis through the center of the clock face. The clock hand has a length of 15.0 cm and a mass of 6.00 g. Take the second hand to be a slender rod rotating with constant angular velocity about one end.

A uniform thin rod of length 6 m and mass 6.0 kg can rotate in a horizontal plane about a vertical axis through its center A. It has rotational inertia 18 kgm2 about the axis through A. The rod is at rest when a 100 g bullet traveling in the horizontal plane of the rod is fired into one end of the rod. As viewed from the top, the direction of the bullet's velocity makes an angle of 30° with the rod. If the bullet stays in the rod and the angular velocity of the rod is 10 rad/s just after collision, what is the magnitude of the bullet's velocity just before impact ? (sin 30°=0.5, cos 30°=0.86. g=10 m/s²) Rod A 30 Bullet

The figure shows three uniform solid disks, each of mass 9.4 kg and radius 0.5 m rotating independently around a common axle. Two of the disks rotate in one direction at 5.3 rad/s while the other rotates in the opposite direction at 3.5 rad/s. Calculate the magnitude of the system's angular momentum about a point in the middle of the center disk. L = kg m²/s .

A solid cylinder is mounted above the ground with its axis of rotation oriented horizontally. A rope is wound around the cylinder and its free end is attached to a block of mass 55.0 kg that rests on a platform. The cylinder has a mass of 255 kg and a radius of 0.490 m. Assume that the cylinder can rotate about its axis without any friction and the rope is of negligible mass. The platform is suddenly removed from under the block. The block falls down toward the ground and as it does so, it causes the rope to unwind and the cylinder to rotate. (a) What is the angular acceleration, in rad/s², of the cylinder? rad/s2 (b) How many revolutions does the cylinder make in 5 s? rev (c) How much of the rope, in meters, unwinds in this time interval?