ROTATIONAL MOTION

The coordinates of point B in an equilateral triangle OAB are given as:

• (0.5, 0.5√3)
• (0.25, 0.25√3)
• (0.5, 0)
• (0.25, 0.5)

Two particles of masses 100 g and 150 g are located at (0, 0) and (0.5, 0) respectively. What is the x-coordinate of their center of mass?

• 0.25 m
• 5/18 m
• 0.33 m
• 0.4 m

What is the role of the total mass M in the center of mass formula?

• It doubles the result
• It eliminates the integral
• It changes the symmetry
• It normalizes the moment integral to give a position

How does the center of mass of a non-uniform rod differ from a uniform one?

• It is always at the center
• It is at one end
• It does not exist
• It is not at the geometric center

What is the main advantage of using symmetry to find the center of mass?

• It increases the mass
• It changes the shape
• It makes the body unstable
• It eliminates the need for complex integration