A small ring is rolling without slipping on t | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(B) At $P_{1}$,the ring is moving down and its angular velocity $\omega$ is increasing to satisfy the rolling condition $(v_{CM} = R\omega)$. The fric

Vedclass · Accepted Answer

It is opposite to $v_{CM}$ at $P_{1}$ and in the same direction as $v_{CM}$ at $P_{3}$.

Vedclass · Answer

(B) At $P_{1}$,the ring is moving down and its angular velocity $\omega$ is increasing to satisfy the rolling condition $(v_{CM} = R\omega)$. The friction force $f$ acts upwards (opposite to $v_{CM}$) to provide the necessary torque to increase $\omega$.At $P_{2}$,the velocity $v_{CM}$ is horizontal and the acceleration of the center of mass is purely centripetal. There is no tangential acceleration,so the frictional force is zero.At $P_{3}$,the ring is moving up and its angular velocity $\omega$ is decreasing to satisfy the rolling condition. The friction force $f$ acts upwards (in the same direction as $v_{CM}$) to provide the torque required to decrease $\omega$.Therefore,the frictional force is opposite to $v_{CM}$ at $P_{1}$ and in the same direction as $v_{CM}$ at $P_{3}$.

Similar Questions

$A$ drum of radius $R$ and mass $M$ rolls down without slipping along an inclined plane of angle $\theta$. The frictional force:

Two solid spheres of different mass,radii,and density roll down a rough inclined plane under identical situations. Their time to come down is independent of their ............

$A$ uniform sphere of radius $R$ and mass $m$ is placed on an inclined plane which makes an angle $45^{\circ}$ to the horizontal. For which of the following values of the coefficient of friction does the sphere roll without slipping? Select the incorrect option.

$A$ solid cylinder of mass $M$ and radius $R$ rolls without slipping down an inclined plane making an angle $\theta$ with the horizontal. Then its acceleration is:

$A$ cylinder rolls up an inclined plane to a certain height and then rolls down. (During these motions,the cylinder rolls without slipping). What are the directions of the frictional force acting on the cylinder?

Vedclass Test Series

Exam Paper Generator

Online Exam Module