Test: Center of Mass & its Motion (July 15) - NEET MCQ

# Test: Center of Mass & its Motion (July 15) - NEET MCQ

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Test: Center of Mass & its Motion (July 15) - Question 1

### What is the Center of Mass?

Detailed Solution for Test: Center of Mass & its Motion (July 15) - Question 1
The Center of Mass is the point where the mass of an object or a system is assumed to be concentrated. It simplifies calculations in mechanics by treating the entire mass as if it were located at this point. This location is crucial for understanding the behavior of objects under forces and motion.
Test: Center of Mass & its Motion (July 15) - Question 2

### When is the Center of Mass of a uniform, symmetrical shape located at its centroid?

Detailed Solution for Test: Center of Mass & its Motion (July 15) - Question 2
The Center of Mass of a uniform, symmetrical shape is always located at its centroid. This simplifies calculations because it means that for such shapes, the Center of Mass coincides with the geometric center.
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Test: Center of Mass & its Motion (July 15) - Question 3

### What is the relationship between the Center of Gravity and the Center of Mass?

Detailed Solution for Test: Center of Mass & its Motion (July 15) - Question 3
The terms Center of Gravity and Center of Mass are used interchangeably in physics literature, and they refer to the same point in space. They both represent the location where the force of gravity is assumed to act on an object or system.
Test: Center of Mass & its Motion (July 15) - Question 4
When does the Center of Mass of a body lie outside the body itself?
Detailed Solution for Test: Center of Mass & its Motion (July 15) - Question 4
The Center of Mass of a body can lie outside the body itself. This occurs when the mass distribution within the body is not uniform, and the Center of Mass is not located at its geometric center.
Test: Center of Mass & its Motion (July 15) - Question 5
In a system of multiple particles, how is the velocity of the Center of Mass determined?
Detailed Solution for Test: Center of Mass & its Motion (July 15) - Question 5
The velocity of the Center of Mass in a system of multiple particles is determined by taking the weighted average of the velocities of all particles. This accounts for both the mass and velocity of each particle in the system.
Test: Center of Mass & its Motion (July 15) - Question 6
Which of the following statements about the Center of Mass is true?
Detailed Solution for Test: Center of Mass & its Motion (July 15) - Question 6
The Center of Mass is the point where the sum of forces acting on an object is zero. This concept is essential for understanding the translational motion of objects.
Test: Center of Mass & its Motion (July 15) - Question 7
Which term is used interchangeably with the Center of Mass?
Detailed Solution for Test: Center of Mass & its Motion (July 15) - Question 7
The term "Center of Inertia" is often used interchangeably with the Center of Mass. Both terms refer to the same point in space where the mass is considered to be concentrated.
Test: Center of Mass & its Motion (July 15) - Question 8
What happens to the Center of Mass of a system when its constituent particles move in different directions?
Detailed Solution for Test: Center of Mass & its Motion (July 15) - Question 8
The Center of Mass of a system of particles moves in the direction of the weighted average of particle velocities. This accounts for both mass and velocity distribution within the system.
Test: Center of Mass & its Motion (July 15) - Question 9
Why is the concept of the Center of Mass important in mechanics?
Detailed Solution for Test: Center of Mass & its Motion (July 15) - Question 9
The concept of the Center of Mass is important in mechanics because it helps determine the position where the mass is concentrated, simplifying calculations and aiding in the analysis of forces and motion.
Test: Center of Mass & its Motion (July 15) - Question 10
In a uniform, symmetrical shape, where is the Center of Mass located?
Detailed Solution for Test: Center of Mass & its Motion (July 15) - Question 10
In a uniform, symmetrical shape, the Center of Mass is located at the geometric center. This simplifies calculations because the mass is evenly distributed.

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