The uniform cylinder is rolling without slip with a velocity v along the horizontal surface when it overtakes a ramp traveling with speed v₀. Determine an expression for the speed v′ which the cylinder has relative to the ramp immediately after it rolls up onto the ramp. Finally, determine the percentage n of cylinder kinetic energy lost if (a) θ = 10° and v0 = 0.25v and (b) θ = 10° and v₀ = 0.5v. Assume that the clearance between the ramp and the ground is essentially zero, that the mass of the ramp is very large, and that the cylinder does not slip on the ramp.

Transcribed Image Text:

v' ひ ーイー× G