A uniform rod of mass 'm' and length ' 2 l ' is balanced on triangular prism. Now length 2 ℓ of rod is cut from one end and placed over the shortened part such that the ends meet. The initial angular acceleration is

Start Free Mock LoginAlready registered? Login here

Physics - Rotation Question with Solution | TestHub

PhysicsRotationMiscellaneousMedium3 minQB

PhysicsMediumsingle choice

A uniform rod of mass 'm' and length ' $2 l$ ' is balanced on triangular prism. Now length $\frac{ℓ}{2}$ of rod is cut from one end and placed over the shortened part such that the ends meet. The initial angular acceleration is

CT43 m1 diagram

Options:

Answer:

Solution:

After the cut, the remaining part has mass 3m/4 and the overlaid part has mass m/4.

About the prism, the gravitational torque magnitude is mgℓ/8.

The combined moment of inertia is 5mℓ²/24.

Hence α=(mgℓ/8)/(5mℓ²/24)=3g/(5ℓ).

Stream:JEESubject:PhysicsTopic:RotationSubtopic:Miscellaneous

⏱ 3mℹ️ Source: QB

Doubts & Discussion

Loading discussions...