A Solid Uniform Sphere of Radius R and Mass M

question 28

Multiple Choice

A solid uniform sphere of radius R and mass M has a rotational inertia about a diameter that is given by (2/5) MR². A light string of length 3R is attached to the surface and used to suspend the sphere from the ceiling. Its rotational inertia about the point of attachment at the ceiling is:

• A) (2/5)MR²
• B) 9MR²
• C) 16MR²
• D) 47/5MR²
• E) (82/5)MR²

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Definitions:

Cardiovascular System

The body’s system comprising the heart and blood vessels, responsible for circulating blood and transporting nutrients, oxygen, and waste products.

Digestive System

The group of organs responsible for breaking down food, absorbing nutrients, and eliminating waste products from the body.

Reproductive System

A biological system within an organism that works to facilitate reproduction, including the genital organs in males and females.

Respiratory System

The biological system consisting of specific organs and structures used for gas exchange in animals and plants.