ROTATIONAL MOTION

For a thin cylindrical rod of uniform density, where is the center of mass located?

• At one end
• At the top
• At a random point
• At the midpoint of its axis

Why is the center of mass of a homogeneous rod at its midpoint?

• Because it is longer at one end
• Because gravity pulls more at the center
• Because the ends are thicker
• Because of symmetry about the center

What does the term 'homogeneous body' mean?

• A body with variable shape
• A body that is hollow
• A body made of different materials
• A body with uniformly distributed mass

What is the Z-coordinate of the center of mass in integral form?

• Z = ∫ z dm
• Z = M ∫ z dm
• Z = (1/M) ∫ x dm
• Z = (1/M) ∫ z dm

How is the Y-coordinate of the center of mass given for a continuous body?

• Y = ∫ y dm
• Y = M ∫ y dm
• Y = (1/M) ∫ x dm
• Y = (1/M) ∫ y dm