Topic: Engineering Mechanics
If a solid cylinder, thin hollow cylinder and a sphere, all with same material and are having same outside diameter are allowed to roll down in same inclination without sliding. All surfaces are having same coefficient of friction. What is the order of the bodies reaching bottom
- A. All reach together
- B. Solid cylinder, sphere, thin hollow cylinder
- C. Sphere, solid cylinder, thin hollow cylinder
- D. Thin hollow cylinder, solid cylinder, sphere
Answer: C. Sphere, solid cylinder, thin hollow cylinder
Explanation: Acceleration of a rolling body down an incline is a = (g*sin(theta)) / (1 + (I/mr²)). The value of I/mr² is 0.4 for a sphere, 0.5 for a solid cylinder, and 1 for a thin hollow cylinder. A lower I/mr² means higher acceleration. Thus, the sphere reaches first, followed by the solid cylinder, and then the thin hollow cylinder.