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A circular disc mounted on a shaft carries three attached masses 4kg,3kg and 2.5kg at radial distance 75mm 85mm and 50mmand at the angular positions of 45degree, 135degree and 240degree respectively. the angular Positions was measured counter clockwise from the reference line x axis . determine the amount of mass at a radial distance 75mm required for the static balance.?
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A circular disc mounted on a shaft carries three attached masses 4kg,3...
Static Balancing of a Circular Disc
Determining the amount of mass required for static balance involves making sure that the center of mass of the system lies on the axis of rotation. Here's how you can calculate the mass required at a radial distance of 75mm:

Step 1: Calculate the total mass of the system
- Mass1 = 4kg, Mass2 = 3kg, Mass3 = 2.5kg
- Total mass = Mass1 + Mass2 + Mass3 = 4kg + 3kg + 2.5kg = 9.5kg

Step 2: Calculate the total moment of the system about the rotation axis
- Moment1 = Mass1 * Radius1 = 4kg * 0.075m = 0.3kgm
- Moment2 = Mass2 * Radius2 = 3kg * 0.085m = 0.255kgm
- Moment3 = Mass3 * Radius3 = 2.5kg * 0.05m = 0.125kgm
- Total moment = Moment1 + Moment2 + Moment3 = 0.3kgm + 0.255kgm + 0.125kgm = 0.68kgm

Step 3: Calculate the required mass at 75mm to achieve static balance
- Let the mass at 75mm be M kg
- Moment of the system after adding mass at 75mm = Total moment - M * 0.075m
- For static balance, the total moment should be zero
- Therefore, 0.68kgm - M * 0.075m = 0
- M = 0.68kgm / 0.075m = 9.07kg
Therefore, a mass of 9.07kg at a radial distance of 75mm is required for static balance.
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A circular disc mounted on a shaft carries three attached masses 4kg,3kg and 2.5kg at radial distance 75mm 85mm and 50mmand at the angular positions of 45degree, 135degree and 240degree respectively. the angular Positions was measured counter clockwise from the reference line x axis . determine the amount of mass at a radial distance 75mm required for the static balance.?
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A circular disc mounted on a shaft carries three attached masses 4kg,3kg and 2.5kg at radial distance 75mm 85mm and 50mmand at the angular positions of 45degree, 135degree and 240degree respectively. the angular Positions was measured counter clockwise from the reference line x axis . determine the amount of mass at a radial distance 75mm required for the static balance.? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about A circular disc mounted on a shaft carries three attached masses 4kg,3kg and 2.5kg at radial distance 75mm 85mm and 50mmand at the angular positions of 45degree, 135degree and 240degree respectively. the angular Positions was measured counter clockwise from the reference line x axis . determine the amount of mass at a radial distance 75mm required for the static balance.? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A circular disc mounted on a shaft carries three attached masses 4kg,3kg and 2.5kg at radial distance 75mm 85mm and 50mmand at the angular positions of 45degree, 135degree and 240degree respectively. the angular Positions was measured counter clockwise from the reference line x axis . determine the amount of mass at a radial distance 75mm required for the static balance.?.
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