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qUESTIONS

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

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 –

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