In the system of two discs and a rod of mass 600 g each, a torque of magnitude \(43 \times 10^5\) dyne-cm is applied along the axis of rotation as shown in figure. Find the approx angular acceleration about given axis :
As shown in the figure, radius of gyration about the axis shown in \(\sqrt{n}\) cm for a solid sphere. Find 'n'.
A solid cylinder of radius $\dfrac{R}{3}$ and length $\dfrac{L}{2}$ is removed along the central axis. Find ratio of initial moment of inertia and moment of inertia of removed cylinder.
Resistance of each side is $R$. Find equivalent resistance between two opposite points as shown in the figure.
When rod becomes horizontal find its angular velocity. It is pivoted at point A as shown.
Masses $m$ and $2m$ are connected by a massless rod of length $d$. If angular momentum about an axis passing through centre of mass and perpendicular to the rod is $L$, then the angular speed $(\omega)$ of the system is:
All are cylindrical rods having radius of cross-section $R$ and mass of each rod $\dfrac{M}{4}$. Find the moment of inertia about $yy'$ axis:
The stress v/s strain graph of a material is as shown. Find the Young's modulus of the material.
$A$ and $B$ are identical point masses. $A$ is released as shown in the diagram at an angle $60^\circ$ from the vertical. Find $R$ if $B$ is able to reach point $C$ after elastic impact.