Which of the following is true about the angu | vedclass

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

Question

(A) The angular momentum of a rolling cylinder is given by $L = I\omega$. As the cylinder rolls down the slope,its linear velocity $v$ increases,which

Vedclass · Accepted Answer

Its magnitude changes but the direction remains the same.

Vedclass · Answer

(A) The angular momentum of a rolling cylinder is given by $L = I\omega$. As the cylinder rolls down the slope,its linear velocity $v$ increases,which implies that its angular velocity $\omega$ also increases. Since $L = I\omega$ and the moment of inertia $I$ about the central axis remains constant,the magnitude of the angular momentum increases. The direction of the angular momentum vector,determined by the right-hand rule,is along the axis of rotation of the cylinder. As the cylinder rolls down the slope,the orientation of its axis of rotation remains constant. Therefore,the magnitude of the angular momentum changes,but its direction remains the same.

Which of the following is true about the angular momentum of a cylinder rolling down a slope without slipping?

Similar Questions

$A$ solid cylinder and a disc of same radii are allowed to roll down a rough inclined plane from the top of a plane. The ratio of their times taken to reach the bottom of the inclined plane is

$A$ cylinder and a ring of same mass $M$ and radius $R$ are placed on the top of a rough inclined plane of inclination $\theta$. Both are released simultaneously from the same height $h$. Choose the correct statement$(s)$ related to the motion of each body.

$A$ body slides down a smooth inclined plane having angle $\theta$ and reaches the bottom with velocity $v$. If the body is a solid sphere rolling down the same plane,then its linear velocity at the bottom of the plane is

$A$ solid sphere is rolling down an inclined plane. What is the ratio of its translational kinetic energy to its rotational kinetic energy?

$A$ solid cylinder of mass $m$ and radius $R$ rolls down an inclined plane of height $30 \ m$ without slipping. The speed of its centre of mass when the cylinder reaches the bottom is $[$use $g=10 \ m \ s^{-2}]$ (in $m \ s^{-1}$)

Vedclass Test Series

Exam Paper Generator

Online Exam Module