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Centre of mass of uniform triangular sheet without calculus Video Lecture - JEE

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FAQs on Centre of mass of uniform triangular sheet without calculus Video Lecture - JEE

1. What is the formula to find the center of mass of a uniform triangular sheet?
Ans. The formula to find the center of mass of a uniform triangular sheet is given by (x, y) = (a/3, h/3), where a is the length of the base and h is the height of the triangle.
2. How can the center of mass of a uniform triangular sheet be determined experimentally?
Ans. The center of mass of a uniform triangular sheet can be determined experimentally by suspending the sheet from a point and allowing it to come to rest. The vertical line passing through the point of suspension will intersect the center of mass.
3. Is the center of mass of a uniform triangular sheet always located inside the triangle?
Ans. Yes, the center of mass of a uniform triangular sheet is always located inside the triangle. It is the point where the mass of the sheet can be assumed to be concentrated.
4. Can the center of mass of a non-uniform triangular sheet be determined using the same formula?
Ans. No, the formula to find the center of mass of a uniform triangular sheet cannot be directly applied to a non-uniform triangular sheet. In the case of a non-uniform sheet, calculus methods are required to determine the center of mass.
5. What are the applications of finding the center of mass of a uniform triangular sheet?
Ans. The finding of the center of mass of a uniform triangular sheet has various applications. It is used in engineering and architecture for designing stable structures, in physics for analyzing the motion and balance of objects, and in robotics for determining the stability of robotic systems.
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