- #1
Helmholtz
- 19
- 0
Homework Statement
Massless and inextensible string is wrapped around the periphery of a homogeneous cylinder of radius R = 0.5 m and mass m = 2 kg. The string is pulled straight away from the upper part of the periphery of the cylinder, without relative slipping. The cylinder moves on a horizontal floor, for which the friction coefficient (μ) is 0.4. What is most nearly the maximum force that can be exerted on the free end of the string so that the cylinder rolls without sliding?
(A) 24 N
(B) 12 N
(C) 8 N
(D) 6 N
(E) 8/3 N
Homework Equations
Your general rotational equations.
The Attempt at a Solution
I know the answer is A. My question is, is it a completely general case that the maximum force you can apply to a cylinder is 3 times the kinetic friction before it starts to slip?