ROTATIONAL MOTION

What does the scalar triple product a·(b×c) represent in magnitude?

• Area of triangle
• Sum of vectors
• Volume of sphere
• Volume of the parallelepiped

What is the area of the triangle formed by two vectors a and b?

• |a × b|
• (1/2)|a × b|
• |a · b|
• |a + b|

What determines the velocity of the center of mass of a system of particles?

• Average of individual velocities
• Sum of velocities
• Total momentum divided by total mass
• Net force acting

A child is sitting at one end of a trolley moving uniformly with speed V on a smooth floor. If the child runs about inside the trolley, what happens to the speed of the center of mass of the system?

• Becomes zero
• Increases
• Decreases
• It remains V

Where is the center of mass of a uniform cube located?

• At a corner
• At the center of a face
• At the midpoint of an edge
• At the intersection of its diagonals