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A square plate of edge d and a circular disc of diameter d are placed touching each other at the midpoint of an edge of the plate as shown in figure (9-Q2). Locate the centre of mass of the combination, assuming same mass per unit area for the two plates.
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A square plate of edge d and a circular disc of diameter d are placed ...
Let m be the mass per unit area.
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A square plate of edge d and a circular disc of diameter d are placed ...
Given: A square plate and a circular plate made up of the same material are placed touching each other on a horizontal table. The side length of the square plate is equal to the diameter of the circular plate.
To find: The centre of mass of the combination.
Solution:
Since the plates are made up of the same material, their densities will be the same.
The centre of mass of a combination of objects is the point where the entire mass of the system can be assumed to be concentrated.
The centre of mass of the combination will lie on the line joining the centres of mass of the square plate and the circular plate.
Centre of mass of a square plate:
The centre of mass of a square plate lies at the intersection of its diagonals.
In this case, the diagonals of the square plate will pass through the centre of the circular plate.
Centre of mass of a circular plate:
The centre of mass of a circular plate lies at its centre.
Therefore, the centre of mass of the combination will lie at the point of intersection of the diagonals of the square plate, which is inside the square plate.
Hence, the correct option is (c) inside the square plate.
Note: The position of the centre of mass of a combination of objects depends on the masses and their positions. In this case, since the plates are of the same material, their masses will be proportional to their areas.
To find: The centre of mass of the combination.
Solution:
Since the plates are made up of the same material, their densities will be the same.
The centre of mass of a combination of objects is the point where the entire mass of the system can be assumed to be concentrated.
The centre of mass of the combination will lie on the line joining the centres of mass of the square plate and the circular plate.
Centre of mass of a square plate:
The centre of mass of a square plate lies at the intersection of its diagonals.
In this case, the diagonals of the square plate will pass through the centre of the circular plate.
Centre of mass of a circular plate:
The centre of mass of a circular plate lies at its centre.
Therefore, the centre of mass of the combination will lie at the point of intersection of the diagonals of the square plate, which is inside the square plate.
Hence, the correct option is (c) inside the square plate.
Note: The position of the centre of mass of a combination of objects depends on the masses and their positions. In this case, since the plates are of the same material, their masses will be proportional to their areas.
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A square plate of edge d and a circular disc of diameter d are placed touching each other at the midpoint of an edge of the plate as shown in figure (9-Q2). Locate the centre of mass of the combination, assuming same mass per unit area for the two plates.
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A square plate of edge d and a circular disc of diameter d are placed touching each other at the midpoint of an edge of the plate as shown in figure (9-Q2). Locate the centre of mass of the combination, assuming same mass per unit area for the two plates. 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 A square plate of edge d and a circular disc of diameter d are placed touching each other at the midpoint of an edge of the plate as shown in figure (9-Q2). Locate the centre of mass of the combination, assuming same mass per unit area for the two plates. covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A square plate of edge d and a circular disc of diameter d are placed touching each other at the midpoint of an edge of the plate as shown in figure (9-Q2). Locate the centre of mass of the combination, assuming same mass per unit area for the two plates..
A square plate of edge d and a circular disc of diameter d are placed touching each other at the midpoint of an edge of the plate as shown in figure (9-Q2). Locate the centre of mass of the combination, assuming same mass per unit area for the two plates. 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 A square plate of edge d and a circular disc of diameter d are placed touching each other at the midpoint of an edge of the plate as shown in figure (9-Q2). Locate the centre of mass of the combination, assuming same mass per unit area for the two plates. covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A square plate of edge d and a circular disc of diameter d are placed touching each other at the midpoint of an edge of the plate as shown in figure (9-Q2). Locate the centre of mass of the combination, assuming same mass per unit area for the two plates..
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