Rigid Body Dynamics MCQ Level - 1 - Physics MCQ

The moment of inertia of a door of mass m, length 2ℓ and width ℓ about its longer side is :

Three identical uniform rods, each of length ℓ, are joined to form a rigid equilateral triangle. Its radius of gyration about an axis passing through a corner and perpendicular to the plane of the triangle is :

A wheel is rolling uniformly along a level road (see fig.) The speed of translational motion of the wheel axis is v. What are the speed of the points A and B on the wheel rim relative to the road at the instant shown in the fig?

A uniform cube of side a and mass m rests on a rough horizontal table. A horizontal force mn is applied normal to one of the faces at a point that is directly below the centre of face, at a height 3a/4 above the base. The minimum value of F for which the cube begins to tilt about the edge is? (Assume that the cube does not slide).

A thin wire of length L and uniform density ρ is bent into a circular loop with centre at O as shown. The moment of inertia of the loop about the axis  XX' is :

A particle performs uniform circular motion with an angular momentum L. If the frequency of particle’s motion is doubled and its kinetic energy is halved, the angular momentum becomes :

Three rings each of mass m and radius r are so placed that they touch each other. The radius of gyration of the system about the axis as shown in the figure is :