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Four holes of radius R are cut from a thin square plate of side 4R & mass M .determine inertia of the remaining portion about zaxis?
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Four holes of radius R are cut from a thin square plate of side 4R & m...
To cut the four holes of radius R from a thin square plate of side 4R, we need to determine the area of the remaining plate.
The area of the square plate is given by the formula A = side^2. In this case, the side of the square plate is 4R, so the area is A = (4R)^2 = 16R^2.
The area of each hole is given by the formula A = πr^2, where r is the radius of the hole. In this case, the radius of each hole is R, so the area of each hole is A = π(R)^2 = πR^2.
Since there are four holes, the total area of the holes is 4 times the area of each hole, which is 4(πR^2) = 4πR^2.
To find the area of the remaining plate, we subtract the total area of the holes from the area of the square plate:
Remaining area = Area of square plate - Total area of holes
= 16R^2 - 4πR^2
Therefore, the area of the remaining plate is 16R^2 - 4πR^2.
The area of the square plate is given by the formula A = side^2. In this case, the side of the square plate is 4R, so the area is A = (4R)^2 = 16R^2.
The area of each hole is given by the formula A = πr^2, where r is the radius of the hole. In this case, the radius of each hole is R, so the area of each hole is A = π(R)^2 = πR^2.
Since there are four holes, the total area of the holes is 4 times the area of each hole, which is 4(πR^2) = 4πR^2.
To find the area of the remaining plate, we subtract the total area of the holes from the area of the square plate:
Remaining area = Area of square plate - Total area of holes
= 16R^2 - 4πR^2
Therefore, the area of the remaining plate is 16R^2 - 4πR^2.
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Four holes of radius R are cut from a thin square plate of side 4R & m...
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Four holes of radius R are cut from a thin square plate of side 4R & mass M .determine inertia of the remaining portion about zaxis?
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Four holes of radius R are cut from a thin square plate of side 4R & mass M .determine inertia of the remaining portion about zaxis? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about Four holes of radius R are cut from a thin square plate of side 4R & mass M .determine inertia of the remaining portion about zaxis? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Four holes of radius R are cut from a thin square plate of side 4R & mass M .determine inertia of the remaining portion about zaxis?.
Four holes of radius R are cut from a thin square plate of side 4R & mass M .determine inertia of the remaining portion about zaxis? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about Four holes of radius R are cut from a thin square plate of side 4R & mass M .determine inertia of the remaining portion about zaxis? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Four holes of radius R are cut from a thin square plate of side 4R & mass M .determine inertia of the remaining portion about zaxis?.
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