MEDIUM
JEE Main
IMPORTANT
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Shown in the figure is a hollow ice-cream cone (it is open at top). If its mass is , radius of its top is and height, , then its moment of inertia about its axis is
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Important Questions on Rotational Motion
MEDIUM
JEE Main
IMPORTANT
Four point masses, each of mass , are fixed at the corners of a square of side I. The square is rotating with angular frequency about an axis passing through one of the corners of the square and parallel to the diagonal, as shown in the figure. The angular momentum of the square about the axis is
MEDIUM
JEE Main
IMPORTANT
A square loop of side and carrying current is kept in plane with its centre at origin. A long wire carrying the same current is placed parallel to -axis and passing through point . The magnitude of torque on the loop about -axis will be :
MEDIUM
JEE Main
IMPORTANT
The linear mass density of a thin rod of length varies from to as , where is the distance from . If is the mass of the rod then its moment of inertia about an axis passing through and perpendicular to the rod :
EASY
JEE Main
IMPORTANT
The centre of mass of a solid hemisphere of radius is from the centre of the flat surface. Then value of is
HARD
JEE Main
IMPORTANT
As shown in the figure, a bob of mass is tied to a massless string whose other end portion is wound on a fly wheel (disc) of radius and mass When released from rest the bob starts falling vertically. When it has covered a distance of the angular speed of the wheel will be:
MEDIUM
JEE Main
IMPORTANT
Three point particles of masses and are placed at three corners of a right angle triangle of sides and as shown in the figure. The centre of mass of the system is at a point:
MEDIUM
JEE Main
IMPORTANT
The radius of gyration of a uniform rod of length about an axis passing through a point away from the centre of the rod, and perpendicular to it, is:
HARD
JEE Main
IMPORTANT
Mass per unit area of a circular disc of radius a depends on the distance from its centre as . The moment of inertia of the disc about the axis, perpendicular to the plane and passing through its centre is:
