MEDIUM
JEE Main
IMPORTANT
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The moment of inertia of a solid sphere, about an axis parallel to its diameter and at a distance of from it, is Which one of the graphs represents the variation of with correctly?
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Important Questions on Rotational Motion
HARD
JEE Main
IMPORTANT
A particle of mass is released with an initial velocity along the curve from the point as shown in the figure. The point is at height from point The particle slides along the frictionless surface. When the particle reaches point its angular momentum about will be: (Take )
HARD
JEE Main
IMPORTANT
Seven identical circular planar disks, each of mass M and radius R are 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:
HARD
JEE Main
IMPORTANT
From a uniform circular disc of radius R and mass 9 M, a small disc of radius 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:
MEDIUM
JEE Main
IMPORTANT
A uniform rod is suspended from a point , at a variable distance from , as shown. To make the rod horizontal, a mass is suspended from its end . A set of value is recorded. The appropriate variables that give a straight line, when plotted, are:
MEDIUM
JEE Main
IMPORTANT
A force of acts on a point at the end of an L-shaped object as shown in the figure. The angle that will produce the maximum moment of the force about point is given by:
EASY
JEE Main
IMPORTANT
A thin circular disk is in the plane as shown in the figure. The ratio of its moment of inertia about and axes will be:
EASY
JEE Main
IMPORTANT
The moment of inertia of a uniform cylinder of length and radius about its perpendicular bisector is What is the ratio such that the moment of inertia is minimum?
MEDIUM
JEE Main
IMPORTANT
A slender uniform rod of mass and length is pivoted at one end so that it can rotate in a vertical plane (see figure). 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 with the vertical is:
