ROTATIONAL MOTION

If a body rotates about an axis not passing through its center of mass, how does its moment of inertia compare to that about the center of mass?

• It is smaller
• It is the same
• It is greater
• It depends on angular velocity

What is the significance of the radius of gyration in structural engineering?

• It measures the weight of the structure
• It helps in assessing buckling and stability of columns
• It determines the color of the material
• It calculates the cost of construction

Why is the moment of inertia of a rod about its end greater than about its center?

• Because the mass increases
• Because the length appears cubed
• Because the mass is, on average, farther from the axis
• Because gravity pulls more

For a given mass, which shape has the smallest radius of gyration about its central axis?

• Ring
• Disc
• Solid sphere
• Hollow sphere

Which of the following factors affects the radius of gyration of a body?

• Temperature of the body
• Distribution of mass relative to the axis
• Color of the body
• Linear speed of the body