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If three balls of same radius are placed touching each other on a horizontal surface such that they will form an equilateral triangle, when their centers are joined. What will be the position of the centre of mass of the system?
- a)At the point of intersection of the medians.
- b)At the line joining the centers of any two balls.
- c)At the centre of one of the ball.
- d)At the horizontal surface.
Correct answer is option 'A'. Can you explain this answer?
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If three balls of same radius are placed touching each other on a hori...
The COM will be at the intersection point of the medians as that is the most symmetric point of this symmetric system.
Most Upvoted Answer
If three balls of same radius are placed touching each other on a hori...
It is given only same radius not the same mass. The
centre of mass depends on the mass distribution so may the question would have been like the three balls have the same mass
centre of mass depends on the mass distribution so may the question would have been like the three balls have the same mass
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If three balls of same radius are placed touching each other on a hori...
To find the position of the center of mass of the system, let's consider the equilateral triangle formed by the centers of the three balls.
**Properties of an Equilateral Triangle:**
1. All sides of an equilateral triangle are equal.
2. All angles of an equilateral triangle are equal and measure 60 degrees.
3. The medians of an equilateral triangle intersect at a point called the centroid.
**Finding the Position of the Center of Mass:**
1. The position of the center of mass of the system will be at the point of intersection of the medians of the equilateral triangle formed by the centers of the three balls.
2. The medians of an equilateral triangle are the line segments joining each vertex to the midpoint of the opposite side.
3. Since the balls are placed touching each other, the centers of the balls will form an equilateral triangle.
4. The medians of this equilateral triangle will intersect at a point called the centroid.
5. The centroid is the center of mass of the equilateral triangle, and since the three balls are placed touching each other, the centroid will also be the center of mass of the system.
6. Therefore, the position of the center of mass of the system will be at the point of intersection of the medians, which is the centroid of the equilateral triangle formed by the centers of the balls.
Hence, the correct answer is option 'A': At the point of intersection of the medians.
**Properties of an Equilateral Triangle:**
1. All sides of an equilateral triangle are equal.
2. All angles of an equilateral triangle are equal and measure 60 degrees.
3. The medians of an equilateral triangle intersect at a point called the centroid.
**Finding the Position of the Center of Mass:**
1. The position of the center of mass of the system will be at the point of intersection of the medians of the equilateral triangle formed by the centers of the three balls.
2. The medians of an equilateral triangle are the line segments joining each vertex to the midpoint of the opposite side.
3. Since the balls are placed touching each other, the centers of the balls will form an equilateral triangle.
4. The medians of this equilateral triangle will intersect at a point called the centroid.
5. The centroid is the center of mass of the equilateral triangle, and since the three balls are placed touching each other, the centroid will also be the center of mass of the system.
6. Therefore, the position of the center of mass of the system will be at the point of intersection of the medians, which is the centroid of the equilateral triangle formed by the centers of the balls.
Hence, the correct answer is option 'A': At the point of intersection of the medians.
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If three balls of same radius are placed touching each other on a horizontal surface such that they will form an equilateral triangle, when their centers are joined. What will be the position of the centre of mass of the system?a)At the point of intersection of the medians.b)At the line joining the centers of any two balls.c)At the centre of one of the ball.d)At the horizontal surface.Correct answer is option 'A'. Can you explain this answer?
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If three balls of same radius are placed touching each other on a horizontal surface such that they will form an equilateral triangle, when their centers are joined. What will be the position of the centre of mass of the system?a)At the point of intersection of the medians.b)At the line joining the centers of any two balls.c)At the centre of one of the ball.d)At the horizontal surface.Correct answer is option 'A'. Can you explain this answer? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about If three balls of same radius are placed touching each other on a horizontal surface such that they will form an equilateral triangle, when their centers are joined. What will be the position of the centre of mass of the system?a)At the point of intersection of the medians.b)At the line joining the centers of any two balls.c)At the centre of one of the ball.d)At the horizontal surface.Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If three balls of same radius are placed touching each other on a horizontal surface such that they will form an equilateral triangle, when their centers are joined. What will be the position of the centre of mass of the system?a)At the point of intersection of the medians.b)At the line joining the centers of any two balls.c)At the centre of one of the ball.d)At the horizontal surface.Correct answer is option 'A'. Can you explain this answer?.
If three balls of same radius are placed touching each other on a horizontal surface such that they will form an equilateral triangle, when their centers are joined. What will be the position of the centre of mass of the system?a)At the point of intersection of the medians.b)At the line joining the centers of any two balls.c)At the centre of one of the ball.d)At the horizontal surface.Correct answer is option 'A'. Can you explain this answer? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about If three balls of same radius are placed touching each other on a horizontal surface such that they will form an equilateral triangle, when their centers are joined. What will be the position of the centre of mass of the system?a)At the point of intersection of the medians.b)At the line joining the centers of any two balls.c)At the centre of one of the ball.d)At the horizontal surface.Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If three balls of same radius are placed touching each other on a horizontal surface such that they will form an equilateral triangle, when their centers are joined. What will be the position of the centre of mass of the system?a)At the point of intersection of the medians.b)At the line joining the centers of any two balls.c)At the centre of one of the ball.d)At the horizontal surface.Correct answer is option 'A'. Can you explain this answer?.
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