Physics System of Particles and Rotational Motion

Two solid spheres each of mass 2 kg and radius 75 cm are arranged as shown. Find MOI of the system about the given axis.

The dimensions of angular impulse is equal to

Consider a uniform square plate of side 'a' and mass 'm'. The moment of inertia of this plate about an axis perpendicular to its plane and passing through one of its corners is:

Centre of mass for a uniform semi-circular ring will be at (from centre)

Two particles of masses 5 kg and 10 kg are placed along x-axis at positions x = 1 m and x = 3 m. The moment of inertia of the system about an axis respectively passing through centre of mass and parallel to y-axis is

An automobile engine develops 105 W power when rotating at an angular speed of 900 rad/minute. The instantaneous torque delivered by the engine is

Two circular rings (of same material) are of same thickness. The diameter of first ring is twice that of second. The moment of inertia of first ring as compared to that of second is

In rotational motion of a rigid body about an axis, particles move with

A body of moment of inertia 4 kg m² rotating with an angular speed of 4 rad/s has the 4x J of kinetic energy. Determine the value of x.

From a sprinkler of length $1m$ , water is throw out with $0.5m/s$ tangentially at the rate of $0.6kg/min$ . If diameter of sprinkler is $8cm$ and moment of inertia is $500gc{m}^2$ , the rate at which angular speed of sprinkler will increases is (assume there in no resistance to motion)