ROTATIONAL MOTION MCQ Quiz: GKFix - Bridge of Knowledge - Page 541

Question 2701

▼

How does the center of mass of a homogeneous disc compare to its geometric center?

The center of mass is at the edge
The center of mass is outside
The center of mass is at a random point
They are identical

Question 2702

▼

What is the role of the origin in calculating ∫ x dm?

It has no role
It doubles the integral
It eliminates mass
It determines the reference point for position measurement

Question 2703

▼

In the expression X = (1/M) ∫ x dm, what does M represent?

Mass of a single element
Mass per unit length
Moment of inertia
Total mass of the body

Question 2704

▼

For a homogeneous ring, why is the center of mass at the center despite no mass being there?

Because the ring is empty
Because gravity pulls from center
Because it is lighter at edges
Due to circular symmetry and balanced mass distribution

Question 2705

▼

How does reflection symmetry help in determining the center of mass of a rod?

It doubles the mass
It shifts the center to one end
It increases the length
It ensures that contributions from symmetric elements cancel