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Centre of Mass for Particles & Composite Bodies | Engineering Mechanics - Civil Engineering (CE) PDF Download
Locate the center of mass 
of the four particles shown .
| Particle | m (kg) |  |  |  |  |  |  |
| 1 | 1 | -1 | 1 | 0 | -1 | 1 | 0 |
| 2 | 2 | 1 | 3 | 0 | 2 | 6 | 0 |
| 3 | 5 | 2 | 4 | 0 | 10 | 20 | 0 |
| 4 | 2 | 1 | -2 | 0 | -4 | -4 | 0 |
| Σ | Σm =10 |  |  |  |
The document Centre of Mass for Particles & Composite Bodies | Engineering Mechanics - Civil Engineering (CE) is a part of the Civil Engineering (CE) Course Engineering Mechanics.
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FAQs on Centre of Mass for Particles & Composite Bodies - Engineering Mechanics - Civil Engineering (CE)
| 1. What is the concept of the center of mass for particles and composite bodies? |  |
Ans. The concept of the center of mass refers to the hypothetical point in a system where the entire mass of the system is assumed to be concentrated. For particles, the center of mass is the average position of all the particles, while for composite bodies, it is the weighted average position of all the constituent particles based on their masses.
| 2. How is the center of mass determined for a particle? | |
Ans. The center of mass for a particle can be determined by considering the position vector of the particle and dividing it by the total mass of the system. Mathematically, it can be represented as the sum of (mass of particle * position vector of particle) divided by the total mass of the system.
| 3. How is the center of mass calculated for a composite body? | |
Ans. To calculate the center of mass for a composite body, the positions of each constituent particle and their respective masses are taken into account. The center of mass is determined by finding the weighted average position of all the particles, where the weights are given by the masses of the particles.
| 4. What are the applications of the concept of center of mass? | |
Ans. The concept of center of mass has various applications in physics and engineering. It is used to analyze the stability and equilibrium of objects, calculate the motion of systems, and understand phenomena like rotation, collisions, and gravitational interactions. It is also utilized in designing structures, vehicles, and machines to ensure their balance and safety.
| 5. Can the center of mass of a system lie outside the object? | |
Ans. Yes, the center of mass of a system can lie outside the object. This occurs when the distribution of mass within the system is uneven or when external forces act upon the object. The center of mass represents the average position of the mass, and it can be influenced by factors such as shape, density, and external influences.
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