posted by .

A 10.0 kg cylinder rolls without slipping on a rough surface. At an instant when its center of gravity has a speed of 16.0 m/s, determine (a) the translational kinetic energy of its center of gravity.(b) the rotational kinetic energy about its center of gravity, and (c) its total kinetic energy.

KE(tr) =m•v²/2,
KE(rot) = I•ω²/2 =m•R²•v²/2•2• R²=m•v²/4.
KE= KE(tr)+ KE(rot)=
=m•v²/2 + m•v²/4= 3• m•v²/4.

## Similar Questions

1. ### physics

A 10.0-kg cylinder rolls without slipping on a rough surface. At the instant its center of amss has a speed of 10m/s, determine (a) the translational kinetic of its center of mass (b) the rotational kinetic energy about its center …
2. ### PHYSICS

A hollow tube (I = MR2) rolls without slipping along the surface. The ratio of its translational kinetic energy to its rotational kinetic energy is a. 1 b. 2 c. 3 d. 1/2 e. 1/3 I say A becasue both add up to get the total kinetic energy.
3. ### Physics

A hollow sphere of radius 0.30 m, with rotational inertia I = 0.080 kg m2 about a line through its center of mass, rolls without slipping up a surface inclined at 19° to the horizontal. At a certain initial position, the sphere's …
4. ### Physics help

A solid cylinder rolls along the floor. What is the ratio of it's translational kinetic energy to its rotational kinetic energy about an axis parallel to its length and through its center of mass?
5. ### physics

A hollow sphere of radius 0.30 m, with rotational inertia I = 0.072 kg m2 about a line through its center of mass, rolls without slipping up a surface inclined at 25° to the horizontal. At a certain initial position, the sphere's …
6. ### Physics

A hollow, thin-shelled cylinder of mass rolls along a horizontal surface with a translational speed of v. What percent of its total kinetic energy is translational?
7. ### physics

A 9.0 kg cylinder rolls without slipping on a rough surface. At an instant when its center of gravity has a speed of 12.0 m/s, determine (a) the translational kinetic energy of its center of gravity.
8. ### Physics Classical Mechanics

A hollow cylinder of outer radius R and mass M with moment of inertia about the center of mass Icm=MR2 starts from rest and moves down an incline tilted at an angle θ from the horizontal. The center of mass of the cylinder has …
9. ### physics

A ball with radius 12cm rolls on a level surface, and the translational speed of the center of mass is 0.35 m/s. What is the angular speed about the center of mass if the ball rolls without slipping?
10. ### physics

Question Part Submissions Used A 11.5-kg cylinder rolls without slipping on a rough surface. At an instant when its center of gravity has a speed of 10.9 m/s, determine the following. (a) the translational kinetic energy of its center …

More Similar Questions

Post a New Question