MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Class II Lever

A uniform squ...

Question

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

A

increased

No worries! We‘ve got your back. Try BYJU‘S free classes today!

B

decreased

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

C

changed in unpredicted manner

No worries! We‘ve got your back. Try BYJU‘S free classes today!

D

the same

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is B decreased
Removing and gluing the small piece at the centre will decrease the moment of inertia about $z - a x i s$ since that part of mass will become closer to the axis.

Final Answer: Option (b)

Suggest Corrections

thumbs-up

5

Similar questions

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

Q. A uniform square plate has a small piece

Q

of an irregular shape removed and glued to the centre of the plate leaving a hole behind

(figure) .

C O M

of the plate is now in the following quadrant of

x - y

𝑝𝑙𝑎𝑛𝑒,

I_{1}

is moment of inertia of a square plate of uniform thickness about an axis perpendicular to the plane of plate and passing through its centre. From this square plate, a circular plate of maximum radius is cut and removed. If

I_{2}

is moment of inertia of this circular plate about an axis perpendicular to the plane of plate and passing through its centre then the ratio of

I_{1}

I_{2}

I

is moment of inertia of a uniform square plate about an axis perpendicular to its plane and passing through its centre. The moment of inertia of that plate about an axis in the plane of plate making an angle

60^{o}

with side of plate and passing through centre is:

I

is moment of inertia of a uniform circular plate of radius

R

about its natural axis. If a circular hole of diameter

R

is made in that plate such that the centre of hole coincides with centre of plate then the moment of inertia of remainder plate about same axis is:

View More

Join BYJU'S Learning Program

explore_more_icon

Explore more

Standard VI Physics

Join BYJU'S Learning Program

CrossIcon