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 Ring $1$ and Ring $2$. Let the axis of rotation be $XX^{\prime}$,which passes through the common centre and is perpendicular

Vedclass · Accepted Answer

$(3/2) mr^2$

Vedclass · Answer

(C) Let the two rings be Ring $1$ and Ring $2$. Let the axis of rotation be $XX^{\prime}$,which passes through the common centre and is perpendicular to the plane of Ring $1$.For Ring $1$,the axis $XX^{\prime}$ is perpendicular to its plane and passes through its centre. Therefore,its moment of inertia is $I_1 = mr^2$.For Ring $2$,the axis $XX^{\prime}$ lies in its plane and passes through its centre. Therefore,its moment of inertia is $I_2 = (1/2) mr^2$.The total moment of inertia of the system is $I = I_1 + I_2 = mr^2 + (1/2) mr^2 = (3/2) mr^2$.

Similar Questions

Which of the following plants is primarily cultivated for the extraction of oil?

One of the parents of a cross has a mutation in its mitochondria. In that cross,that parent is taken as a male. During segregation of $F_{2}$-progenies,that mutation is found in:

$A$ line segment $AM = a$ moves in the $XOY$ plane such that $AM$ is parallel to the $X$-axis. If $A$ moves along the circle $x^2 + y^2 = a^2$,then the locus of $M$ is

Which of the following hormones can be used to replace vernalization?

Consider the following reactions:
$C_2H_2 \xrightarrow[500^{\circ}C]{\text{red hot iron tube}} A$
$A \xrightarrow[70^{\circ}C]{\text{conc. } HNO_3, \text{conc. } H_2SO_4} B$
$B \xrightarrow{LiAlH_4} C_6H_5-N=N-C_6H_5$
$A$ and $B$ are:

Vedclass Test Series

Exam Paper Generator

Online Exam Module