Embibe Experts Solutions for Chapter: Rotational Mechanics, Exercise 1: Exercise-1

A mass $m$ is moving with constant velocity along a line parallel to $x$-axis beyond origin. Its angular momentum about the origin:

A body is rotating with angular momentum $L.$ If $I$ is its moment of inertia about the axis of rotation, its kinetic energy of rotation is

A constant torque acting on a uniform circular wheel changes its angular momentum from $A_0$ to $4A_0$ in $4$ second. the magnitude of this torque is:

A conical pendulum consists of a simple pendulum moving in a horizontal circle as shown. $C$ is the pivot, $O$ the centre of the circle in which the pendulum bob moves and $\omega$ the constant angular velocity of the bob. If $\overrightarrow{L}$ is the angular momentum about point $C$, then

A conical pendulum consists of a simple pendulum moving in a horizontal circle as shown. $C$ is the pivot, $O$ the centre of the circle in which the pendulum bob moves and $\omega$ the constant angular velocity of the bob.

The motion of planets in the solar system is an example of the conservation of

A particle is in a uniform circular motion in a horizontal plane. Its angular momentum is constant when the origin is taken at 

A circular wooden loop of mass $m$ and radius $R$ rests flat on a horizontal frictionless surface. A bullet, also of mass $m,$ and moving with a velocity $V,$ strikes the loop and gets embedded in it. The thickness of the loop is much smaller than $R.$ The angular velocity with which the system rotates just after the bullet strikes the loop is