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- Homework Statement
- A solid wheel with mass M, radius R, and rotational inertia MR^2/2, rolls without sliding on a horizontial surface. A horizontal force F is applied to the axle and the center of mass has an acceleration a. The magnitudes of the applied force F and the frictional force f of the surface, respectively, are:

a. F = Ma, f = 0

b. F = Ma, f = Ma/2

c. F = 2Ma, f = Ma

d. F = 2Ma, f = Ma/2

e. F = 3Ma/2, f = Ma/2

Ans: E

- Relevant Equations
- F R = (1/2 MR^2 + MR^2 ) a/R

I calculate in this way as follows and get a correct answer. Howere I am not sure if I am using the right way.

F R = (½ MR^2 + MR^2 ) a/R

F = 3/2 Ma

F - f = Ma

f = 3/2 Ma - Ma = Ma/2

F R = (½ MR^2 + MR^2 ) a/R

F = 3/2 Ma

F - f = Ma

f = 3/2 Ma - Ma = Ma/2