Rotational Motion

The angular momentum of a moving body remains constant, if

If the earth were to suddenly contract to half of its present radius, what would be the duration of the day?

Two fly wheels are connected by a non-slipping belt as shown in the figure. $I_1=4 \mathrm{~kg} \mathrm{~m}^2, r_1=20 \mathrm{~cm}$, $\mathrm{I}_2=20 \mathrm{~kg} \mathrm{~m}^2$ and $\mathrm{r}_2=30 \mathrm{~cm}$. A torque of 10 Nm is appli...

A body of mass 1 kg is suspended by a weightless string which passes over a frictionless pulley of mass 2 kg as shown in the figure. The mass is released from a height of 1.6 m from the ground. With what velocity does it strike the ground?

A ceiling fan is rotating around a fixed axle as shown. The direction of angular velocity is along .......... .

Seven identical discs are arranged in a planar pattern, so as to touch each other as shown in the figure. Each disc has mass \(m\) radius \(R\). What is the moment of inertia of system of six discs about an axis passing through the centre o...

The moment of inertia of a rigid body about an axis

The angular speed of a motor wheel is increased from \(1200 \mathrm{~rpm}\) to \(3120 \mathrm{~rpm}\) in \(16 \mathrm{~s}\). The angular acceleration of the motor wheel is

In figure \(E\) and \(v_{\mathrm{cm}}\) represent the total energy and speed of centre of mass of an object of mass \(1 \mathrm{~kg}\) in pure rolling. The object is

A thin uniform rectangular plate of mass \(2 \mathrm{~kg}\) is placed in \(x y\)-plane as shown in figure. The moment of inertial about \(x\)-axis is \(I_x=0.2 \mathrm{~kgm}^2\) and the moment of inertia about \(Y\)-axis is $$I_y=0.3 \mathr...

A wheel starting from rest gains an angular velocity of \(10 \mathrm{~rad} / \mathrm{s}\) after uniformly accelerated for \(5 \mathrm{~s}\). The total angle through which it has turned is

A particle is moving uniformly along a straight line as shown in the figure. During the motion of the particle from \(A\) to \(B\), the angular momentum of the particle about \(O\)

Moment of inertia of a body about two perpendicular axes $X$ and $Y$ in the plane of lamina are $20 \mathrm{~kg}-\mathrm{m}^2$ and $25 \mathrm{~kg}-\mathrm{m}^2$, respectively. Its moment of inertia about an axis perpendicular to the plane ...