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qUESTIONS

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

MCQs-PYQs-12th-jee

Point masses m1and m2 are placed at the opposite ends of a rigid rod of length L, and negligible mass. The rod is to be set rotating about an axis perpendicular to it. The position of point P on this rod through which the axis should pass so that the work required to set the rod rotating with angular velocity ω0 is minimum, is given by :

MCQs-PYQs-12th-jee

A solid sphere is rotating freely about its symmetry axis in free space . The radius of the sphere is increased keeping its mass same . Which of the following physical quantities would remain constant for the sphere ?

MCQs-PYQs-12th-jee

From a disc of radius R and mass M , a circular hole of diameter R , whose rim passes through the centre is cut . What is the moment of inertia of the remaining part of the disc about a perpendicular axis , passing through the centre ?

MCQs-PYQs-12th-jee

Three idential spherical shells each of mass m and radius r are placed as shown in Fig. Consider an axis XX’ which is touching the two shells and passing through diameter of third shell. Moment of Inertia of the system consisting of these three spherical shells about XX’ as axis is :

MCQs-PYQs-12th-jee

A rope is wound around a hollow cylinder of mass 3kg and radius 40cm. What is the angular acceleration of the cylinder if the rope is pulled with a force of 30N ?

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