A 2.0-m measuring stick of mass 0.155 kg is resting on a table. A mass of 0.500 kg is attached to the stick at a distance of 58.0 cm from the center. Both the stick and the table surface are frictionless. The stick rotates with an angular speed of 6.20 rad/s. (a) If the stick is pivoted about an axis perpendicular to the table and passing through its center, what is the angular momentum of the system? |kg · m²/s (b) If the stick is pivoted about an axis perpendicular to it and at the end that is furthest from the attached mass, and it rotates with the same angular speed as before, what is the angular momentum of the system? kg · m2/s

A steel disc with a mass of 1.505 kg and a diameter of 8.00 cm is rotating with angular speed 4.75 rad/s. A second, aluminum disc of the same diameter but with mass 527 g and rotating with angular speed -0.07 rad/s is dropped on to the steel disc and both come to a common angular speed. What is this final angular speed?

A massless string is wrapped around a solid 7.6-kg cylinder of diameter 24 cm that can rotate freely withoutfriction about an axis through its center. A stone is tied to the loose end of the string. When the stone isreleased from rest, the cylinder turns without the string slipping. If the cylinder has an angular velocity of26 rad/s after 1.4 s, what is the mass of the stone? Through how many revolutions does the cylinder turn inthis time?

Consider a person who is sitting on a frictionless rotating stool. The person initially has his arms outstretched and is rotating with an angular speed of 5.0 rad/s. He then pulls his arms close to his body, thus reducing his moment of inertia to 80% of the initial one. What is his final angular speed?

A car with tires whose radius is 32 cm is traveling along a highway at 24.5 m/s. The mass of the tire is equal to 12.0 kg and it's mass is distributed around the outer diameter so that it's moment of inertia is I=MR². (a) What is the angular velocity of the tires? (b) Compute the rotational kinetic energy of the tire (c) Compute the total kinetic energy of the tire (d) How many revolutions will the tires make in six minutes? (e) Consider now that the car brakes with an angular acceleration of -25.5 rad/sec^2 and comes to a stop; how many revolutions will the tires have made between the time the brakes are applied and when the car stops?

A disk of mass M is spinning freely at 4.77 rad/s when a second identical disk, initially not spinning, is dropped onto it so that their axes coincide. In a short time the two disks are corotating. (a)What is the angular speed of the new system (in rad/s)? (b) If a third such disk is dropped on the first two, find the final angular speed of the system (in rad/s).

A baseball has a mass of 0.15 kg and radius 3.7 cm. In a baseball game, a pitcher throws the ball with a substantial spin so that it moves with an angular speed of 41 rad/s and a linear speed of 34 m/s. Assuming the baseball to be a uniform solid sphere, determine the rotational and translational kinetic energies of the ball in joules. KErotational = KE translational =

A wheel of radius 0.35 m rotates in a clockwise sense about a fixed axle with negligible friction at an initial angular speed of 2.6 rad/s. The wheel's mass of 17 kg is concentrated in its rim. You apply a clockwise torque to the rotating wheel by pushing on the rim tangentially with a constant force of 22 N. Find the wheels angular speed, in radians per second, 0.085 seconds after you start pushing on the rim.

A mountain biker takes a jump in a race and goes airborne. The mountain bike is traveling at 12.5 m/s before it goes airborne. If the mass of the front wheel on the bike is 950 g and has radius 30 cm, what is the angular momentum (in kg · m/s) of the spinning wheel about its axis in the air the moment the bike leaves the ground? (Assume the wheel can be approximated by a hoop rotating about its center of mass that rolls without slipping before the jump. Enter the magnitude.) kg · m2/s

A uniform spherical shell of mass M = 6.0 kg and radius R = 18.0 cm rotates about a vertical axis on frictionless bearings (see the figure). A massless cord passes around the equator of the shell, over a pulley of rotational inertia I = 3.60×10-3 kg m2 and radius r = 6.0 cm, and its attached to a small object of mass m = 4.0 kg. There is no friction on the pulley's axle; the cord does not slip on the pulley. What is the speed of the object after it has fallen a distance h = 1.1 m from rest: Use work - energy considerations