Rankers Physics

Calculation of Center of Mass: Practice Problem & Solution

Centre of mass is the point which divides the line joining the masses in 
ratio of masses
reverse ratio of masses
1:1
1:2

Solution Explained:

To solve this problem, we apply the core principles of Calculation of Center of Mass. Understanding the underlying formula is key to arriving at the correct answer below:

Centre of mass is the point which divides the line joining the masses in reverse ratio of masses.

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Similar Practice Questions

Explore conceptually related problems to test your knowledge.

1. Assertion (A): A half filled bottle is more stable than a fully filled identical bottle when kept in upright position. Reason (R): A half filled bottle has lesser mass than a fully filled bottle. (The fluid and bottles are identical).  
2. Assertion (A): In two particle system when viewed from center of mass reference frame, if one particle stops then other one will also stop simultaneously, irrespective of external forces acting on system. Reason (R): Centre of mass of a system is a point about which total momentum of system is always constant and non-zero.  
3. Two particles of mass $5\text{ kg}$ and $10\text{ kg}$ respectively are attached to the two ends of a rigid rod of length $1\text{ m}$ with negligible mass. The centre of mass of the system from the $5\text{ kg}$ particle is nearly at a distance of : (2020)
4. Three masses are placed on the $x$-axis : $300\text{ g}$ at origin, $500\text{ g}$ at $x = 40\text{ cm}$ and $400\text{ g}$ at $x = 70\text{ cm}$. The distance of the center of mass from the origin is : (2012 Mains)
5. Center of mass is closer to