ROTATIONAL MOTION

What is the effect of a non-uniform mass distribution on the moment of inertia?

• It has no effect
• It always increases I
• It can increase or decrease I depending on whether mass is concentrated near or far from the axis
• It makes I unpredictable

For a solid sphere, what is the radius of gyration about its diameter?

• R
• R/2
• √(2/5)R
• 2R

What is the moment of inertia of a triangular lamina about an axis through its centroid and perpendicular to its plane?

• (1/12)M(a² + b²)
• (1/6)M(a² + b²) for sides a,b
• (1/3)ML²
• Not specified in text

How does the moment of inertia of a system depend on the choice of coordinate system?

• It changes with the coordinate system
• It depends on the position and orientation of the axis of rotation, not the coordinate system
• It is always zero in polar coordinates
• It increases in 3D systems

What is the physical significance of the radius of gyration in engineering design?

• It measures the cost of materials
• It helps in comparing the efficiency of different cross-sectional shapes for beams and columns
• It determines the color of paint needed
• It calculates the number of workers required