Question

A uniform sphere of radius R rotates about a diameter with an angular momentum of magnitude L. Under the action of internal forces the sphere collapses to a uniform sphere of radius R/2. The magnitude of its new angular momentum is:_______.A. L/4.B. L/2.C. L.D. 2L.E. 4L.

Answer 1

Answer: C. L

Explanation:

Internal forces are forces that are produced from external forces which are acting on structure members. Example of such members include beams, and columns. There are three types of internal forces which are, axial, shear and moment.

Angular momentum is the rotational or angular equivalent of linear momentum. It is a conserved quantity.

As angular momentum is a conserved quantity, internal forces are unable to change it.

Answer 2

The magnitude of the new angular momentum for the uniform sphere of radius ($\frac{R}{2}$) is: C. L.

An internal force refer to a force that is typically generated from an external force which acts on structure members such as columns, poles and beams.

Also, internal forces are exchanged between the objects in a system.

Generally, there are three (3) main types of internal forces and these include:

• Shear force.

• Axial (normal) force.

• Moment.

Angular momentum is specific to rotational motion and it is the product of an object's moment of inertia and its angular velocity.

According to law of conservation of momentum, the initial angular momentum of an object is always equal to the final angular momentum.

This ultimately implies that, angular momentum is a conserved quantity.

In this context, the magnitude of the new angular momentum for the uniform sphere of radius ($\frac{R}{2}$) is equal to L because it is conserved.

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