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For a particle rotating in a vertical circle with uniform speed, the maximum and minimum tension in the string are in the ratio 5:3. If the radius of vertical circle is 2 m, the speed of revolving body is a)root5 m/s b)5root5 m/s c)5m/s d)10m/s?
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For a particle rotating in a vertical circle with uniform speed, the m...
Problem: For a particle rotating in a vertical circle with uniform speed, the maximum and minimum tension in the string are in the ratio 5:3. If the radius of vertical circle is 2 m, the speed of revolving body is a)root5 m/s b)5root5 m/s c)5m/s d)10m/s?
Solution:
Solution:
- Understanding the Problem: We are given that a particle is rotating in a vertical circle with uniform speed. We need to find the speed of the revolving body. We are also given that the maximum and minimum tension in the string are in the ratio 5:3 and the radius of the vertical circle is 2m.
- Concepts Used: We will use the concepts of centripetal force, gravitational force, and tension in the string.
- Formula:
- Centripetal force = mv^2/r
- Gravitational force = mg
- Tension in the string at the top = mv^2/r + mg
- Tension in the string at the bottom = mv^2/r - mg
- Solution Steps:
- Let the maximum tension be 5x and the minimum tension be 3x.
- At the top of the circle, tension = 5x, centripetal force = mv^2/r, gravitational force = mg
- Therefore, 5x = mv^2/r + mg
- At the bottom of the circle, tension = 3x, centripetal force = mv^2/r, gravitational force = mg
- Therefore, 3x = mv^2/r - mg
- Divide the above two equations, we get:
- 5/3 = (mv^2/r + mg)/(mv^2/r - mg)
- Simplifying the above equation, we get:
- mv^2 = 5gr
- Substituting the given values, we get:
- v^2 = 5g
- v = sqrt(5g) = 5^(1/2)m/s
- Answer: The speed of the revolving body is sqrt(5) m/s.
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For a particle rotating in a vertical circle with uniform speed, the m...
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For a particle rotating in a vertical circle with uniform speed, the maximum and minimum tension in the string are in the ratio 5:3. If the radius of vertical circle is 2 m, the speed of revolving body is a)root5 m/s b)5root5 m/s c)5m/s d)10m/s?
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For a particle rotating in a vertical circle with uniform speed, the maximum and minimum tension in the string are in the ratio 5:3. If the radius of vertical circle is 2 m, the speed of revolving body is a)root5 m/s b)5root5 m/s c)5m/s d)10m/s? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about For a particle rotating in a vertical circle with uniform speed, the maximum and minimum tension in the string are in the ratio 5:3. If the radius of vertical circle is 2 m, the speed of revolving body is a)root5 m/s b)5root5 m/s c)5m/s d)10m/s? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for For a particle rotating in a vertical circle with uniform speed, the maximum and minimum tension in the string are in the ratio 5:3. If the radius of vertical circle is 2 m, the speed of revolving body is a)root5 m/s b)5root5 m/s c)5m/s d)10m/s?.
For a particle rotating in a vertical circle with uniform speed, the maximum and minimum tension in the string are in the ratio 5:3. If the radius of vertical circle is 2 m, the speed of revolving body is a)root5 m/s b)5root5 m/s c)5m/s d)10m/s? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about For a particle rotating in a vertical circle with uniform speed, the maximum and minimum tension in the string are in the ratio 5:3. If the radius of vertical circle is 2 m, the speed of revolving body is a)root5 m/s b)5root5 m/s c)5m/s d)10m/s? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for For a particle rotating in a vertical circle with uniform speed, the maximum and minimum tension in the string are in the ratio 5:3. If the radius of vertical circle is 2 m, the speed of revolving body is a)root5 m/s b)5root5 m/s c)5m/s d)10m/s?.
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