Q1: 1. Where is the center of mass located in a uniform circular ring?

• A) At the geometric center
• B) At a random point on the circumference
• C) At a point outside the ring
• D) At the center of the ring

Q2: 2. What is the center of mass of a uniform rod?

• A) At one end of the rod
• B) At the midpoint of the rod
• C) At a random point along the rod
• D) At one-third of the length from one end

Q3: 3. How does the center of mass change when a small piece is removed from a uniform object?

• A) It remains unchanged
• B) It shifts towards the removed piece
• C) It shifts away from the removed piece
• D) It splits into two centers of mass

Q4: 4. In a triangle, where is the center of mass located?

• A) At the centroid
• B) At the vertex
• C) At the midpoint of the base
• D) At the midline

Q5: 5. What happens to the center of mass when an external force is applied to a system of particles?

• A) It remains stationary
• B) It accelerates in the direction of the force
• C) It moves opposite to the direction of the force
• D) It splits into multiple centers of mass

Q6: 6. Where is the center of mass of a hemisphere located?

• A) At the top surface
• B) At the bottom surface
• C) At the geometric center
• D) At a point outside the hemisphere

Q7: 7. What is the center of mass of a system of particles with varying masses?

• A) It is the average of the masses
• B) It is the sum of the masses
• C) It is the weighted average of the masses
• D) It is the maximum mass in the system

Q8: 8. How does the center of mass of an irregular object compare to its geometric center?

• A) It is always at the geometric center
• B) It is always outside the object
• C) It can be inside or outside the object
• D) It is always at one of the edges

Q9: 9. Where is the center of mass of a cone situated?

• A) At the apex
• B) At the base
• C) At the midpoint of the height
• D) At the center of the circular base

Q10: 10. What relationship exists between the center of mass and stability of an object?

• A) Higher center of mass leads to greater stability
• B) Lower center of mass leads to greater stability
• C) Center of mass does not affect stability
• D) Center of mass determines the color of the object

Q11: 11. In a uniform density sphere, where is the center of mass located?

• A) At the surface of the sphere
• B) At the center of the sphere
• C) Outside the sphere
• D) At a random point inside the sphere

Q12: 12. How is the center of mass affected by the shape of an object?

• A) Shape has no impact on the center of mass
• B) Center of mass is always at the geometric center
• C) Center of mass shifts based on the shape
• D) Center of mass is at the corner of the object

Q13: 13. Where is the center of mass of a uniform triangle located?

• A) At the centroid
• B) At the vertex opposite the longest side
• C) At the midpoint of the base
• D) At the midline

Q14: 14. How does the center of mass of a system of particles change when one particle is removed?

• A) It remains fixed
• B) It shifts towards the removed particle
• C) It shifts away from the removed particle
• D) It splits into multiple centers of mass

Q15: 15. What is the center of mass of a uniform square plate?

• A) At one of the corners
• B) At the center of the plate
• C) At a random point along the edge
• D) At the midpoint of one side

Q16: 16. In a system of connected objects, where is the center of mass located?

• A) At the point of connection
• B) At the heaviest object
• C) At the lightest object
• D) It depends on the shape of the objects

Q17: 17. How does the center of mass change when a uniform object is cut into two unequal parts?

• A) It shifts towards the larger part
• B) It shifts towards the smaller part
• C) It remains unchanged
• D) It splits into two separate centers of mass

Q18: 18. Where is the center of mass of a uniform cylinder located?

• A) At one end of the cylinder
• B) At the midpoint of the height
• C) At the center of the circular base
• D) At a random point on the circumference

Q19: 19. What happens to the center of mass of a system of particles when they are in motion?

• A) It remains stationary
• B) It moves in a straight line
• C) It follows a curved path
• D) It oscillates randomly

Q20: 20. How does the center of mass of a composite object compare to its individual components?

• A) It is always outside the object
• B) It is always at the geometric center
• C) It is unique to each component
• D) It is a combination of the individual centers of mass

Q21: 21. Where is the center of mass of a uniform semicircle located?

• A) At the midpoint of the diameter
• B) At the center of the straight edge
• C) At the geometric center
• D) At a random point outside the semicircle

Q22: 22. What is the relationship between the center of mass and stability of a hanging object?

• A) Lower center of mass leads to greater stability
• B) Higher center of mass leads to greater stability
• C) Center of mass has no effect on stability
• D) Center of mass determines the length of the hanging object

Q23: 23. How does the center of mass of a system of particles change when additional particles are added?

• A) It remains fixed
• B) It shifts towards the new particles
• C) It shifts away from the new particles
• D) It splits into multiple centers of mass

Q24: 24. Where is the center of mass of a uniform trapezoid located?

• A) At the midpoint of the longer base
• B) At the midpoint of the shorter base
• C) At the centroid
• D) At a random point on the slant edge

Q25: 25. How does the distribution of mass in an object impact its center of mass?

• A) Uniform mass distribution shifts the center of mass
• B) Non-uniform mass distribution affects the center of mass
• C) Center of mass is unrelated to mass distribution
• D) Center of mass is determined by the color of the object