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qUESTIONS

MCQs-PYQs-12th-jee

Seven identical circular planar discs, each of mass M and radius R welded symmetrically as shown.The moment of inertia of the arrangement about the axis normal to the plane and passing through the point P is

MCQs-PYQs-12th-jee

A thin wire of length L and uniform linear mass 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 :

MCQs-PYQs-12th-jee

One quarter sector is cut from a uniform circular disc ofradius R. This sector has mass M. It is made to rotate about a line perpendicular to its plane and passing through the centre of the original disc. Its moment of inertia about the axis of rotation is

MCQs-PYQs-12th-jee

From a solid sphere of M and radius R a cube of maximum possible volume is cut. Moment of inertia of cube about an axis passing through its centre and perpendiular to one of its faces is:

MCQs-PYQs-12th-jee

Consider a uniform square plate of of side 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 –

MCQs-PYQs-12th-jee

The moment of inertia of a semicircular ring about an axis which is perpendicular to the plane of the ring and passes through the centre

MCQs-PYQs-12th-jee

A solid sphere of mass M, radius R and having moment of inertia about an axis passing through the centre of mass as J, is recast into a disc of thickness t, whose moment of inertia about an axis passing through its edge and perpendicular to its plane remains J. Then, radius of the disc will be

MCQs-PYQs-12th-jee

One solid sphere A and another hollow sphere B are of same mass and same outer radii. Their moment of inertia about their diameters are respectively IA and IB such that.

MCQs-PYQs-12th-jee

A slender uniform rod of mass M and length l is pivoted at one end so that it can rotate in a vertical plane, Fig. There is negligible friction at the pivot. The free end is held vertically above the pivot and then released. The angular acceleration of the rod when it makes an angle θ with the vertical is

MCQs-PYQs-12th-jee

From a circular ring of mass M and radius R, an arc corresponding to a 90∘ sector is removed. The moment of inertia of the ramaining part of the ring about an axis passing through the centre of the ring and perpendicular to the plane of the ring is k times MR2. Then the value of k is

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