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

cahnged in unpredictd manner.

Text Solution

Verified by Experts

The correct Answer is:
B

Since `I=mr^(2)`
So when piece Q is removed and glued to the centre of the plate, the mass comes closer to Z-axis and I decreases.
The correct option is (b).
Promotional Banner

Topper's Solved these Questions

  • SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

    MODERN PUBLICATION|Exercise NCERT FILE (NCERT EXEMPLAR PROBLEMS (SUBJECTIVES QUESTIONS) (Very Short Answer Type Questions))|9 Videos
  • SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

    MODERN PUBLICATION|Exercise HIGHER ORDER THINKING SKILLS & ADVANCED LEVEL QUESTIONS WITH ANSWERS|13 Videos
  • SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

    MODERN PUBLICATION|Exercise NCERT FILE ( NCERT (ADDITIONAL EXERCISES) )|12 Videos
  • PHYSICAL WORLD

    MODERN PUBLICATION|Exercise Revision exercises (Long answer questions)|6 Videos
  • THERMAL PROPERTIES OF MATTER

    MODERN PUBLICATION|Exercise CHAPTER PRACTICE TEST|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

A uniform rectangular plate has been bent as shown in the figure. The two angled parts of the plate are of identical size. The moment of inertia of the bent plate about axis xx is I. Find its moment of inertia about an axis parallel to x x and passing through the centre of mass of the plate.

Let I be the moment of interia of a uniform square plate about an axis AB that passses through its centre and is parallel to two 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. .

There is a square plate of side length a. It is divided into nine identical squares each of side (a)/(3) and the central square is removed (see fig. (i)). Now each of the remaining eight squares of side length (a)/(3) are divided into nine identical squares and central square is removed from each of them (see fig. (ii)). (a) Mass of the plate with one big and eight small holes is M. Find its moment of inertia about an axis passing through its centre and perpendicular to its plane.

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