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FAQs on DC Pandey Solutions (JEE Main): Centre of Mass, Conservation of Linear Momentum - DC Pandey Solutions for JEE Physics
| 1. What is the concept of centre of mass? |  |
Ans. The concept of centre of mass is a crucial concept in physics. It is the point in a system of particles or objects where the entire mass of the system can be assumed to be concentrated. It is the average position of all the particles in the system, weighted according to their masses. The centre of mass is a useful concept in various applications, such as understanding the motion of objects, analyzing collisions, and studying rotational dynamics.
| 2. How is the conservation of linear momentum related to the Centre of Mass? | |
Ans. The conservation of linear momentum is closely related to the concept of centre of mass. According to the law of conservation of linear momentum, the total momentum of an isolated system remains constant if no external forces act on it. The centre of mass of a system also behaves in a similar manner. If no external forces act on a system, the centre of mass of the system will continue to move with a constant velocity. This is because the motion of the centre of mass is determined by the total momentum of the system, which remains constant due to the conservation of linear momentum.
| 3. How can the concept of centre of mass be applied in real-life situations? | |
Ans. The concept of centre of mass finds applications in various real-life situations. For example:
- In sports like diving and gymnastics, athletes use the concept of centre of mass to maintain balance and perform complex maneuvers.
- Engineers use the concept of centre of mass to design stable structures, such as buildings and bridges.
- Astronomers use the concept of centre of mass to study the motion of celestial bodies and predict their orbits.
- In transportation, the concept of centre of mass is crucial for ensuring the stability of vehicles, especially during turns and maneuvers.
| 4. Can the centre of mass be located outside the physical boundaries of an object? | |
Ans. Yes, the centre of mass can be located outside the physical boundaries of an object. The position of the centre of mass depends on the distribution of mass within the object. If the mass is distributed asymmetrically, the centre of mass may not coincide with the geometric centre of the object. In such cases, the centre of mass can be located outside the physical boundaries of the object. This concept is often used in physics to analyze the motion and stability of objects.
| 5. How can the concept of centre of mass be used to analyze collisions? | |
Ans. The concept of centre of mass is widely used to analyze collisions between objects. By considering the motion of the centre of mass, we can simplify the analysis of collisions and calculate the final velocities of the objects involved. In a collision, the total momentum of the system is conserved. By applying the principle of conservation of linear momentum, we can relate the velocities of the objects before and after the collision. The concept of centre of mass helps in determining the initial and final velocities of the objects and understanding the overall motion of the system during a collision.
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