# Question: A cylindrical hoop a cylinder and a sphere of equal

A cylindrical hoop, a cylinder, and a sphere of equal radius and mass are released at the same time from the top of an inclined plane. Using the conservation of mechanical energy, show that the sphere always gets to the bottom of the incline first with the fastest speed and that the hoop always arrives last with the slowest speed.

## Answer to relevant Questions

For the following objects, which all roll without slip-ping, determine the rotational kinetic energy about the center of mass as a percentage of the total kinetic energy: (a) A solid sphere, (b) A thin spherical shell, and ...What is the angular momentum of a 2.0-g particle moving counterclockwise (as viewed from above) with an angular speed of in a horizontal circle of radius 15 cm? (Give the magnitude and direction.) An ice skater has a moment of inertia of 100 kg ∙m2 when his arms are outstretched and a moment of inertia of 75 kg ∙ m2 when his arms are tucked in close to his chest. If he starts to spin at an angular speed of 2.0 rps ...A solid cylindrical 10-kg roll of roofing paper with a radius of 15 cm, starting from rest rolls down a roof with a incline (Fig. 8.55). (a) If the cylinder rolls 4.0 m without slipping, what is the angular speed about its ...Which has a greater Young’s modulus, a steel wire or a rubber band? Explain.Post your question