A cylinder of mass m is kept on an inclined plane having an angle of inclination 30° . Axis of the cylinder makes an angle 30° with the line along the greatest slope. Assuming that cylinder rolls without slipping, the acceleration of the cylinder is

Question

A cylinder of mass m is kept on an inclined plane having an angle of inclination 30° . Axis of the cylinder makes an angle 30° with the line along the greatest slope. Assuming that cylinder rolls without slipping, the acceleration of the cylinder is <img class="img-fluid question-image" alt="Question" src="https://cdn.tardigrade.in/q/nta/p-u9ip1y3s19i1.png" /> (A) (g/6) (B) (g/4) (C) (g/3) (D) (g/2)

Tardigrade Admin · Accepted Answer

Acceleration of the cylinder is given by a= (m g sin θ sin â¡ α /m + m/2) = (2 g sin θ sin â¡ α /3)=(g/6) <img class="img-fluid question-image" alt="Solution" src="https://cdn.tardigrade.in/q/nta/p-u9ip1y3snilx.png" />

Q. A cylinder of mass $m$ is kept on an inclined plane having an angle of inclination $3 0^{\circ}$ . Axis of the cylinder makes an angle $3 0^{\circ}$ with the line along the greatest slope. Assuming that cylinder rolls without slipping, the acceleration of the cylinder is

$\frac{g}{6}$

$\frac{g}{4}$

$\frac{g}{3}$

$\frac{g}{2}$

Acceleration of the cylinder is given by
$a = \frac{m g s in θ s in α}{m + m /2}$
$= \frac{2 g s in θ s in α}{3} = \frac{g}{6}$

Q. A cylinder of mass m is kept on an inclined plane having an angle of inclination 30∘ . Axis of the cylinder makes an angle 30∘ with the line along the greatest slope. Assuming that cylinder rolls without slipping, the acceleration of the cylinder is

6g​

4g​

3g​

2g​