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qUESTIONS

MCQs-PYQs-12th-jee

Two identical spherical balls of mass M and radius R each are stuck on two ends of a rod of length 2 R and mass M (see figure). The moment of inertia of the system about the axis passing perpendicularly through the center of the rod is

MCQs-PYQs-12th-jee

Small object of uniform density rolls up a curved surface with an initial velocity v. It reaches up to a maximum height of 3 v^2/4 g with respect to the initial position. The object is:

MCQs-PYQs-12th-jee

A child is standing with folded hands at the center of a platform rotating about its central axis. The kinetic energy of the system is `K`. The child now stretches his arms so that the moment of inertia of the system doubles. The kinetic energy of the system now is

MCQs-PYQs-12th-jee

A thin circular ring of mass M and radius r is rotating about its axis with an angular speed ω. Two particles having mass m each are now attached at diametrically opposite points. The angular speed of the ring will become

MCQs-PYQs-12th-jee

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

MCQs-PYQs-12th-jee

A thin uniform circular disc of mass M and radius R is rotating in a horizontal plane about an axis passing through its centre and perpendicular to its plane with an angular velocity `omega.` another disc of the same dimensions but of mass M/4 is placed gently on the first disc coaxially. The angular velocity of the system now is `2 omega //sqrt5.`

MCQs-PYQs-12th-jee

A pulley of radius 2m is rotated about its axis by a force `F= (20 t- 5t^2)` newton (where t is measured in seconds) applied tangentially. If the moment of inertia of the pulley about its axis of rotation is `10kg m^2` the number of rotaitons made by the pulley before its direction of motion is reversed, is:

MCQs-PYQs-12th-jee

The moment of inertia of a uniform cylinder of length ℓ and radius R about its perpendicular bisector is I. What is the ratio ℓ / R such that the moment of inertia is minimum?

MCQs-PYQs-12th-jee

From a uniform circular disc of radius R and mass 9 M, a small disc of radius R/3 is removed as shown in the figure. The moment of inertia of the remaining disc about an axis perpendicular to the plane of the disc and passing through centre of disc is

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

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