Four rods of equal length I and each of mass m form a square as shown in figure.
Moments of inertia about three axes 1, 2 and 3 are say I₁,I₂ and I₃• Then, match the following columns
and mark the correct option from the codes given below.
Column I
(A)   I₁
(B)   I₂
(C) I₃
Column II
(p)    $\frac{4}{3} m l^{2}$
(q)    $\frac{2}{3} m l^{2}$
(r ) $\frac{1}{2} m l^{2}$
(s) None

Question

Four rods of equal length I and each of mass m form a square as shown in figure.

Moments of inertia about three axes 1, 2 and 3 are say I₁,I₂ and I₃• Then, match the following columns
and mark the correct option from the codes given below.

Column I

(A) I₁

(B) I₂

(C) I₃

Column II

(p) $\frac{4}{3} m l^{2}$

(q) $\frac{2}{3} m l^{2}$

(r ) $\frac{1}{2} m l^{2}$

(s) None

Infinity Learn · Accepted Answer

$$($$ $$A)$$ $$I1=2ml212+2(m)l22=23ml2$$ (B) $$I2=0+2ml23+ml2=53ml2$$ (C) $$I3=4ml23sin245$$°$$=23ml2=I1Hence$$,  A→q,B→s,C→q

Remember concepts with our Masterclasses.

Ready to Test Your Skills?

free study material