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 is then
Updated On: Jul 6, 2022
increased
decreased
the same
changed in unpredicted manner
Hide Solution
Verified By Collegedunia
The Correct Option isB
Solution and Explanation
cording to the theorem of perpendicular axes
$I_z = I_x +I_y$
With the hole, $I_x$ and $I_y$ both decrease. Gluing the removed piece at the centre of
square plate does not affect $I_z$. Hence, $I_z$ decrease overall.
Was this answer helpful?
0
0
Top Questions on System of Particles & Rotational Motion
The system of particles refers to the extended body which is considered a rigid body most of the time for simple or easy understanding. A rigid body is a body with a perfectly definite and unchangeable shape.
The distance between the pair of particles in such a body does not replace or alter. Rotational motion can be described as the motion of a rigid body originates in such a manner that all of its particles move in a circle about an axis with a common angular velocity.
The few common examples of rotational motion are the motion of the blade of a windmill and periodic motion.
