Home
Class 11
PHYSICS
A light rod of length l has two masses m...

A light rod of length `l` has two masses `m_1` and `m_2` attached to its two ends. The moment of inertia of the system about an axis perpendicular to the rod and passing through the centre of mass is.

A

`sqrt(m_(1)m_(2)l^(2))`

B

`(m_(1)m_(2))/(m_(1)+m_(2))l^(2)`

C

`(m_(1)+m_(2))/(m_(1)m_(2))l^(2)`

D

`(m_(1)+m_(2))l^(2)`

Text Solution

Verified by Experts

The correct Answer is:
B

`I=m_(1)r_(1)^(2)+m_(2)r_(2)^(2)`,
Here , `r_(1)=(m_(2)l)/((m_(1)+m_(2)))` and `r_(2)=(m_(1)l)/((m_(1)+m_(2)))`
`impliesI=m_(1)((m_(2))/(m_(1)+m_(2))l)^(2)+m_(2)((m_(1))/(m_(1)+m_(2))l)^(2)` `:.I=(m_(1)m_(2)l^(2))/((m_(1)+m_(2)))`.
Promotional Banner

Similar Questions

Explore conceptually related problems

Two masses m_(1) and m_(2) are attached to the ends of a light rod of length l .The moment of inertia of the system about an axis perpendicular to the rod and passing through the centre of mass is (m_(1)=m and m_(2) =2m)

Two point masses m and 4m are connected by a light rigid rod of length l at the opposite ends. Moment of inertia of the system about an axis perpendicular to the length and passing through the centre of mass is

Two uniform solid of masses m_(1) and m_(2) and radii r_(1) and r_(2) respectively, are connected at the ends of a uniform rod of length l and mass m . Find the moment of inertia of the system about an axis perpendicular to the rod and passing through a point at a distance of a from the centre of mass of the rod as shown in figure.

Calculate the moment of inertia of a rod of mass M, and length l about an axis perpendicular to it passing through one of its ends.

Calculate the moment of inertia of a rod of mass 2 kg and length 5 m about an axis perpendicular to it and passing through one of its ends.

Two point size bodies of masses 2kg, 3kg are fixed at two ends of a light rod of length 1m . The moment of inertia of two bodies about an axis perpendicular to the length of rod and passing through centre of mass of two bodies is

A rod of length L is composed of a uniform length 1/2 L of wood mass is m_(w) and a uniform length 1/2 L of brass whose mass is m_(b) . The moment of inertia I of the rod about an axis perpendicular to the rod and through its centre is equal to

A system consists of two identical sphers each of mass 1.5 kg and radius 50 cm at the ends of a light rod .The distane between the centres of the spheres is 5 m .What will be the moment of inertia of the system about an axis perpendicular to the rod passing through its midpoint .