A uniform cylinder of mass m₁ and radius R is pivoted on frictionless bearings. A massless string wrapped around the cylinder connects to a mass m₂, which is on a frictionless incline of angle θ as shown in Figure. The system is released from rest with m₂ a height h above the bottom of the incline. 

(a) What is the acceleration of m₂? 

(b) What is the tension in the string? 

(c) What is the total energy of the system when m₂ is at height h?

(d) What is the total energy when m₂ is at the bottom of the incline and has a speed v? 

(e) What is the speed v?

(f) Evaluate your answers for the extreme cases of θ = 0^o, θ = 90^o, and m₁ = 0.

Transcribed Image Text:

т m2