A sphere of radius 3.34 cm and a spherical shell of radius 8.72 cm are rolling without slipping along the same floor. The two objects have the same mass. If they are to have the same total kinetic energy, what should the ratio of the sphere's angular speed ?sph to the spherical shell's angular speed ?shl

The ramp on the figure is 0.75 m high. The object is a 2.0 kg cylinder with radius of r = 0.10 m. The cylinder rolls from the top and reaches the bottom. A) What is its total kinetic energy at the bottom? B) What is its rotational kinetic energy, C) what is its translational kinetic energy?

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.

Mehul

A cylinder of radius 2.59 cm and a sphere of radius 8.72 cm are rolling without slipping along the same floor. The two objects have the same mass. If they are to have the same total kinetic energy, what should the ratio of the cylinder's angular speed ?cyl to the sphere's angular speed ?sph be?

A merry-go-round has a mass of 1450 kgkg and a radius of 7.50 mm . How much net work is required to accelerate it from rest to a rotation rate of 1.00 revolution per 8.10 ss ? Assume it is a solid cylinder.

A car is traveling on the highway at a speed S. The body of the car, and driver, have a combined mass of M, the mass of each wheel is m, the radius of each wheel is r, and the rotational inertia of each wheel about the center of mass is IG. What is the total kinetic energy of the car?

In the figure, three 0.10 kg particles have been glued to a rod of length L = 11 cm and negligible mass and can rotate around a perpendicular axis through point O at one end. How much work is required to change the rotational rate (a) from 0 to 20.0 rad/s, (b) from 20.0 rad/s to 40.0 rad/s, and (c) from 40.0 rad/s to 60.0 rad/s? (d) What is the slope of a plot of the assembly's kinetic energy (in joules) versus the square of its rotation rate (in radians-squared per second-squared)? Axis -P--P-- P- (a) Number i Units (b) Number i Units (c) Number i Units (d) Number i Units

Lx Gi A 325-kg merry-go-round with a radius of 1.50 m is spinning counterclockwise, as viewed from above, at 4.80 rad/s. A 35.0-kg child is hanging on tightly 1.25 m from the rotation axis. Her father applies friction to the outer rim to slow the merry-go-round to a stop in 5 s. Model the merry-go-round as a solid disk, and define counterclockwise as the positive direction of rotation. How much torque t must the child's father apply? 432 T = N-m Incorrect

A 16 gm DVD disc with a diameter of 120mm rotates with an angular speed of 115 rad/second. What is the Kinetic Energy of the spinning DVD?