A solid cylinder of mass M and radius R rolls without slipping down an inclined plane making an angle θ with the horizontal. the force of friction acting on the cylinder is

Question

A solid cylinder of mass M and radius R rolls without slipping down an inclined plane making an angle θ with the horizontal. the force of friction acting on the cylinder is (A) (2/3) Mg sin θ (B) (1/3) Mg sin θ (C) (2/5) Mg sin θ (D) (2/7) Mg sin θ

Tardigrade Admin · Accepted Answer

Force of friction, f = Mg sin θ - Ma = Mg sin θ - (2/3) Mg sin θ = (1/3)Mg sin θ

Q. A solid cylinder of mass $M$ and radius $R$ rolls without slipping down an inclined plane making an angle $θ$ with the horizontal. the force of friction acting on the cylinder is

$\frac{2}{3} M g s in θ$

$\frac{1}{3} M g s in θ$

$\frac{2}{5} M g s in θ$

$\frac{2}{7} M g s in θ$

Force of friction, $f = M g s in θ - M a$
$= M g s in θ - \frac{2}{3} M g s in θ$
$= \frac{1}{3} M g s in θ$

Q. A solid cylinder of mass M and radius R rolls without slipping down an inclined plane making an angle θ with the horizontal. the force of friction acting on the cylinder is

32​Mgsinθ

31​Mgsinθ

52​Mgsinθ

72​Mgsinθ