Two rings of the same radius and mass are pla | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(C) Let the two rings be $1$ and $2$. For ring $1$,the axis of rotation is perpendicular to its plane and passes through its center. The moment of ine

Vedclass · Accepted Answer

$ \frac{3}{2}mr^2 $

Vedclass · Answer

(C) Let the two rings be $1$ and $2$. For ring $1$,the axis of rotation is perpendicular to its plane and passes through its center. The moment of inertia of ring $1$ about this axis is $I_1 = mr^2$. For ring $2$,the axis of rotation lies in its plane and passes through its center (i.e.,it is a diameter of ring $2$). The moment of inertia of ring $2$ about this diameter is $I_2 = \frac{1}{2}mr^2$. The total moment of inertia of the system about the given axis is $I = I_1 + I_2 = mr^2 + \frac{1}{2}mr^2 = \frac{3}{2}mr^2$.

Similar Questions

The moment of inertia of a body depends on

The moment of inertia of a solid sphere of density $\rho$ and radius $R$ about its diameter is

The ratio of the radius of gyration of a thin uniform disc about an axis passing through its centre and normal to its plane to the radius of gyration of the disc about its diameter is

Three identical rods,each of length $l$ and mass $M$,are joined to form a rigid equilateral triangle. Its radius of gyration about an axis passing through a corner and perpendicular to the plane of the triangle is

The figure shows an isosceles triangular plate of mass $M$ and base $L$. The angle at the apex is $90^o$. The apex lies at the origin and the base is parallel to the $X$-axis. The moment of inertia of the plate about the $z$-axis is

Vedclass Test Series

Exam Paper Generator

Online Exam Module