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  4. 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 />

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

Question

NTA AbhyasNTA Abhyas 2020System of Particles and Rotational Motion

Solution:

Acceleration of the cylinder is given by
$a= \, \frac{m g sin \theta sin ⁡ \alpha }{m + m/2}$
$= \, \frac{2 g sin \theta sin ⁡ \alpha }{3}=\frac{g}{6}$

Solution