A uniform solid ball rolls smoothly along a floor, then up a ramp inclined at 15.0°. It momentarily stops when it has rolled 1.50 m along the ramp. What was its initial speed? (Isphere=0.4MR², g=9.8 m/s²) 5.5 m/s 4.3 m/s 0 m/s 3.7 m/s 2.6 m/s

A 4 kg ball with a 0.5 m radius rolls at a constant 4 rad/s. The rotational inertia of the ball is 0.5 mr2. What is the total energy of the ball?   - 8 J - 4 J - 16 J - 12 J

A 8.10 kg uniform disk with a radius of 14.3 cm is wrapped with a massless string and is suspending a 4.47 kg mass. What is the tension in the string as the mass falls? What is the speed of the mass after it has fallen 3.56 m?

A uniform rod is set up so that it can rotate about an axis at perpendicular to one of its ends. The length and mass of the rod are 0.759 m and 1.31 kg, respectively. A force of constant magnitude F acts on the rod at the end opposite the rotation axis. The direction of the force is perpendicular to both the rod's length and the rotation axis. Calculate the value of F that will accelerate the rod from rest to an angular speed of 6.69 rad/s in 8.49 s. F =

As shown below, a hollow cylinder with a mass 0.318 kg and an inner radius of 20 cm and an outer radius of 30 cm is attached to a solid cylinder with a mass 0.766 kg and a radius of 50 cm. It rotates at a rate of 16.4 rad/s about an axis through both of their centers. Find the kinetic energy of the system in J. axis 50 cm -30 cm 20 cm

A solid, uniform bowling ball, 12.7 cm in diameter, starts from rest and rolls down a 7.00 m high ramp with a 37.0° slope. There is enough friction between the surface of the ramp and the bowling ball to prevent the ball from skidding. At the bottom of the ramp, the ball goes up a frictionless ramp with the same slope as the first ramp. Determine max height of ball on  frictionless ramp.

While spinning down from 95 rads/s to rest, a solid cylinder does 3.7 kJ ofwork.If the radius of the disk is 1.2 m, what is the mass?

A solid cylinder of mass 4.6 kg and radius 0.6 m starts from rest at the top of a ramp, inclined 21°, and rolls to the bottom without slipping. (For a cylinder I = 0.5MR2) The upper end of the ramp is 7 m higher than the lower end. Find the linear velocity of the cylinder when it reaches the bottom of the ramp? (g = 9.8 m/s2)

A 24 g block sits at the center of a turntable that rotates at 80 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 54.0 cm.  Express your answer in revolutions per minute.

A bowling ball of mass 7.26 kg and radius 10.3 cm rolls without slipping down a lane at 3.00 m/s. Calculate its total kinetic energy.   Express your answer using three significant figures and include the appropriate units.