Question

A solid cylinder rolls down an incline without slipping. Its acceleration depends on

• A. Only the mass of the cylinder
• B. Only gravitational acceleration
• C. Both the mass of the cylinder and the angle of inclination
• D. Both the angle of inclination and gravitational acceleration

Hint:

For rolling without slipping, \[ a=\frac{g\sin\theta}{1+\dfrac{I}{mR^2}}. \] For a solid cylinder, \[ I=\frac12 mR^2 \] which gives \[ a=\frac23 g\sin\theta. \] Notice that the mass cancels out.

Answer 1

The Correct Option is D