Two identical alleles are moving on horizontal surfaces. The center of masses of each has the same linear speed. However, one wheel is rolling while the other is sliding on a frictionless Surface without rolling. Each wheel then encounters as an inclined plane. One continues to roll up the incline, while the other continues to slide up. Eventually wheel is a disk of mass 2.72kg . On the horizontal surfaces the center of each wheel moves a linear speed of 6.56m/s. (A), (b) what is the total kinetic energy of wheel?  (C) (D) determine the maximum height reached by each will as it moves up the incline.

A thin 155 g disk with a diameter of 8.50 cm rotates about an axis through its center with 0.260 J of kinetic energy. What is the speed (in m/s) of a point on the rim?

A turntable of radius R=2.00 m and mass M=32.0 kg rotates counterclockwise in a horizontal plane with an initial angular speed of 4x rad/s. The fixed turntable bearing is frictionless. The turn table is in the shape of a uniform disc with the moment of inertia of this turntable being I 0.5*MR?. (a) What is the magnitude of angular momentum of this turntable? Answer: 803.84 (b) What is the (magnitude of) the momentum of this turntable? Answer: 401.92 kgm2/s? X kgm/s? Now a lump of clay of mass m=2.48 kg and negligible size is dropped onto the turntable from a small distance above it and immediately sticks to a point 1.90 m from the axis (c) Find the final angular speed of the clay and turntable. Answer: 12.386 X rad/s

Block 1 with mass m1=502 kg rests on a horizontal ledge with negligible friction. This block is then attached to a string that passes over a pulley, and the other end of the string is attached to the hanging block 2 of mass m2=251 kg, as shown. The pulley is a uniform disk of radius 9.40 cm and mass 1.770 kg. Calculate the speed of block 2 after it is released from rest and falls a distance of 2.15 m. What is the angular speed of the pulley at the instant when block 2 has fallen a distance of 2.15 m?

A thin 105 g disk with a diameter of 7.00 cm rotates about an axis through its center with 0.615 J of kinetic energy. What is the speed (in m/s) of a point on the rim?

A student sits on a rotating stoll holding two 8.0kg objects. When his arms are extended horizontally, the objects are 1.3m from the axis rotation and he rotated with an angular speed of 1.8rad/s. The moment of intertidal of the student plus stoll is 4.5kg•m^2 and is assumed to be constant.  if the student pulls in the two objects horizontally to 0.50m from the rotation axis. What is the new angular speed in rad/s of the student? (3 sig fig)

A 26 g block sits at the center of a turntable that rotates at 50 rpm.  A compressed spring shoots the block radially outward from the center along a frictionless groove in the surface of the turntable.  Calculate the turntable's angular speed when the block reaches the outer edge.  Treat the turntable as a solid disk with mass with mass 200 g and diameter 30.0 cm.  Express your answer in revolutions per minute.

A solid spherical ball starts from rest at an initial height of 1.9 m, and rolls down an incline. The ball's mass is 2.5 kg and its radius is 23.2 cm. What is the ball's final center of mass (translational) speed (in m/s)?