A solid cylinder of mass 3.0 kg and radius 0.2 m starts from rest at the top of a ramp, inclined 15 $\degree$, and rolls to the bottom without slipping. (For a cylinder I = 0.5MR².) The upper end of the ramp is 1.5 m higher than the lower end. Find the linear speed of the cylinder when it reaches the bottom of the ramp. (g = 9.8 m/s²)

Question

Quizplus · Accepted Answer

The potential energy at the top is converted into translational and rotational kinetic energy at the bottom. Using energy conservation: mgh = 0.5mv^2 + 0.5Iω^2. With I = 0.5MR^2 and ω = v/R, solve for v to find v = 4.4 m/s.

A Solid Cylinder of Mass 3 °\degree° , and Rolls to the Bottom Without Slipping

A Solid Cylinder of Mass 3 $\degree$ , and Rolls to the Bottom Without Slipping