Home
Class 11
PHYSICS
A uniform square plate has a small piece...

A uniform square plate has a small piece `Q` of an irregular shape removed and guled to the centre of the plate leaving a hole behind in figure. The moment of inertia about the z-axis is then,
.

A

increased

B

decreased

C

the same

D

changed in unpedicted manner

Text Solution

Verified by Experts

The correct Answer is:
b
in the given diagrams , when the small piece Q removed and glued to the centre of the plate , the mass comes closer to the z- axis , hence , moment of inertia decreases.
Promotional Banner

Topper's Solved these Questions

  • SYSTEM OF PARTICLES AND ROTATIONAL MOTION

    NCERT EXEMPLAR ENGLISH|Exercise very short answer type questions|18 Videos

  • SYSTEM OF PARTICLES AND ROTATIONAL MOTION

    NCERT EXEMPLAR ENGLISH|Exercise Long answer type questions|12 Videos

  • OSCILLATIONS

    NCERT EXEMPLAR ENGLISH|Exercise All Questions|36 Videos

  • THERMAL PROPERTIES OF MATTER

    NCERT EXEMPLAR ENGLISH|Exercise Very short Answer type Questions|15 Videos

Similar Questions

Explore conceptually related problems

A unifrom square plate has a small piece Q of an irregular shape removed and glued to the centre of the plate leaving a hole behind [Fig.] The moment of inertia about the z-axis is than

Let l be the moment of inertia of a uniform square plate about an axis AB that passes through its centre and is parallel to two of its sides. CD is a line in the plane of the plate that passes through the centre of the plate and makes an angle theta with AB. The moment of inertia of the plate about the axis CD is then equal to

Ler l be the moment of inertia of a uniform square plate about an axis AB that passes through its centre and is parallel to two of its sides. CD is a line in the plane of the plate that passes through the centre of the plate and makes an angle theta with AB. The moment of inertia of the plate about the axis CD is then equal to

Let l be the moment of inertia of a uniform square plate about an axis AB that passes through its centre and is parallel to two of its sides. CD is a line in the plane of the plate that passes through the centre of the plate and makes an angle theta with AB. The moment of inertia of the plate about the axis CD is then equal to

A symmetric lamina of mass M consists of a square shape with a semicircular section over each of the edge of the square as in fig. The side of the square is 2 a . The moment of inertia of the lamina about an axis through its centre of mass and perpendicular to the plane is 1.6 Ma^(2) . The moment of inertia of the lamina about the tangent AB in the plane of lamina is. .

From a uniform square plate, one-fourth part is removed as shown. The centre of mass of remaining part will lie on

From a uniform square plate, one-fourth part is removed as shown. The centre of mass of remaining part will lie on

An isosceles triangular piece is cut a square plate of side l . The piece is one-fourth of the square and mass of the remaining plate is M . The moment of inertia of the plate about an axis passing through O and perpendicular to its plane is

A square plate of edge a//2 is cut out from a uniform square plate of edge 'a' shown in figure. The mass of the remaining portion is M . The moment of inertia of the shaded portion about an axis passing through 'O'( centre of the square of side a) and perpendicular to plane of the plate is :

The moment of inertia of a thin square plate ABCD, fig, of uniform thickness about an axis passing through the centre O and perpendicular to the plane of the plate is where l_1, l_2, l_3 and l_4 are respectively the moments of intertial about axis 1,2,3 and 4 which are in the plane of the plate.