A square frame is made by combining four rods each of mass M and length L. Moment of inertia of the square frame about an axis through one side of the frame is (see figure)

Question

A square frame is made by combining four rods each of mass M and length L. Moment of inertia of the square frame about an axis through one side of the frame is (see figure) (A)  (ML2/3) (B) ML2 (C)  (4ML2/3) (D)  (5ML2/3)

Tardigrade Admin · Accepted Answer

I = I1 + I2 + I3+ I4 I = 0 + (ML2/3)+ (ML2/3)+ML2 I = (5ML2/3)

Q. A square frame is made by combining four rods each of mass M and length L. Moment of inertia of the square frame about an axis through one side of the frame is (see figure)

$\frac{M L ^{2}}{3}$

$M L^{2}$

$\frac{4 M L ^{2}}{3}$

$\frac{5 M L ^{2}}{3}$

$I = I_{1} + I_{2} + I_{3} + I_{4}$
$I = 0 + \frac{M L ^{2}}{3} + \frac{M L ^{2}}{3} + M L^{2}$
$I = \frac{5 M L ^{2}}{3}$

Q. A square frame is made by combining four rods each of mass M and length L. Moment of inertia of the square frame about an axis through one side of the frame is (see figure)

3ML2​

ML2

34ML2​

35ML2​

I=I1​+I2​+I3​+I4​ I=0+3ML2​+3ML2​+ML2 I=35ML2​

$\frac{M L ^{2}}{3}$

$M L^{2}$

$\frac{4 M L ^{2}}{3}$

$\frac{5 M L ^{2}}{3}$

$I = I_{1} + I_{2} + I_{3} + I_{4}$
$I = 0 + \frac{M L ^{2}}{3} + \frac{M L ^{2}}{3} + M L^{2}$
$I = \frac{5 M L ^{2}}{3}$