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qUESTIONS

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

MCQs-PYQs-12th-jee

A uniform rod of length 200cm and mass 500g is balanced on a wedge placed at 40 cm mark. A mass of 2Kg is suspended from the rod at 20cm and another unknown mass m is suspended from the rod at 160cm mark as shown in figure. Find value of m such that the rod is in equilibrium.

MCQs-PYQs-12th-jee

A solid sphere is rolling on a frictionless surface, shown in figure with a translational velocity v m/s. If is to climb the inclind surface then v should be :

MCQs-PYQs-12th-jee

A uniform cylinder has radius R and length L. If the moment of inertia of this cylinder about an axis passing through its centre and normal to its circular face is equal to the moment of inertia of the same cylinder about an axis passing through its centre and normal to its length, then

MCQs-PYQs-12th-jee

For the given uniform square lamina ABCD, whose centre is O

MCQs-PYQs-12th-jee

A light rod of length l has two masses m1 and m2 attached to its two ends . The moment of inertia of the system about an axis perpendicular to the rod and passing through the centre of mass is

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