MEDIUM
JEE Main
IMPORTANT
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A circular disc of radius has a hole of radius at its centre(see figure). If the mass per unit area of the disc varies as then, the radius of gyration of the disc about its axis passing through the center is
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Important Questions on Rotational Motion
EASY
JEE Main
IMPORTANT
Three particles of masses , and are placed at the vertices of an equilateral triangle of side (as shown in the figure). The coordinates of the centre of mass will be:
MEDIUM
JEE Main
IMPORTANT
The position vector of the center of mass of an asymmetric uniform bar of negligible area of cross-section as shown in figure is:
MEDIUM
JEE Main
IMPORTANT
Let the moment of inertia of a hollow cylinder of length (inner radius and outer radius ), about its axis be . The radius of a thin cylinder of the same mass such that its moment of inertia about its axis is also is:
MEDIUM
JEE Main
IMPORTANT
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?
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:
