Systems of Part...

The moment of inertia of a circular disc about an axis which is tangential to the circumference of the disc and parallel to its diameter is

A T joint is formed by two identical rods A and B each of mass m and length L in the X – Y plane as shown. Its moment of inertia about axis coinciding with A is

From a circular disc of radius R and mass 9M, a small disc of radius R/3 is removed from the disc. The moment of inertia of the remaining disc about an axis perpendicular to the plane of the disc and passing through O is

Moment of inertia of a disc about an axis which is tangent and parallel to its plane is I. Then the moment of inertia of disc about a tangent, but perpendicular to its plane will be

For spheres each of mass M and radius R are placed with their centres on the four corners A , B, C and D of a square of side b. The spheres A and B are hollow and C and D are solids. The moment of inertia of the system about side AD of square is

Angular momentum L is given by L =p.r. The variation of log Land log p is shown by

A small mass m is attached to a massless string whose other end is fixed at P as shown in the figure. The mass is undergoing circular motion in the x-y plane with centre at O and constant angular speed ω. If the angular momentum of the system, calculated about O and P are denoted by L_o and L_p respectively, then

A thin uniform rod, pivoted at O, is rotating in the horizontal plane with constant angular speed ω, as shown in the figure. At time t = 0, a small insect starts from O and moves with constant speed v w.r.t. the rod towards the other end. It reaches the end of the rod at t =T and stops. The angular speed of the system remains ω throughout. The magnitude of the torque |τ| on the system about O, as a function of time is best represented by which plot ?