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two beads A and B of equal mass m are connected by a light inextensible cord . they are constrained to move on a friction less ring in vertical plane . the blocks are released from rest what is tension in the cord just after the release
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two beads A and B of equal mass m are connected by a light inextensibl...
Description of the Problem:
Two beads A and B of equal mass m are connected by a light inextensible cord and are constrained to move on a frictionless ring in a vertical plane. The blocks are released from rest, and we need to find the tension in the cord just after the release.
Analysis:
- The system consists of two masses connected by a cord, moving in a circular path.
- As the blocks are released from rest, the initial velocities of both beads are zero.
- The only force acting on each bead is tension in the cord.
Solution:
- At the instant of release, the tension in the cord provides the centripetal force required for circular motion.
- The tension in the cord can be calculated using the centripetal force formula: T = mv^2 / r, where T is the tension, m is the mass of each bead, v is the velocity, and r is the radius of the ring.
- Since the initial velocity is zero, the tension just after the release is also zero.
Conclusion:
- Just after the release, the tension in the cord is zero as there is no initial velocity to provide the centripetal force required for circular motion.
- As the beads start moving, the tension in the cord will increase to provide the centripetal force necessary to keep the beads in circular motion on the ring.
Two beads A and B of equal mass m are connected by a light inextensible cord and are constrained to move on a frictionless ring in a vertical plane. The blocks are released from rest, and we need to find the tension in the cord just after the release.
Analysis:
- The system consists of two masses connected by a cord, moving in a circular path.
- As the blocks are released from rest, the initial velocities of both beads are zero.
- The only force acting on each bead is tension in the cord.
Solution:
- At the instant of release, the tension in the cord provides the centripetal force required for circular motion.
- The tension in the cord can be calculated using the centripetal force formula: T = mv^2 / r, where T is the tension, m is the mass of each bead, v is the velocity, and r is the radius of the ring.
- Since the initial velocity is zero, the tension just after the release is also zero.
Conclusion:
- Just after the release, the tension in the cord is zero as there is no initial velocity to provide the centripetal force required for circular motion.
- As the beads start moving, the tension in the cord will increase to provide the centripetal force necessary to keep the beads in circular motion on the ring.
Community Answer
two beads A and B of equal mass m are connected by a light inextensibl...
Just after the release B moves downwards and A moves horizontally leftwards with the same acceleration say a
drawing free body diagram for both A and B
T cos 45 =ma
T=√2 ma _ (1)
mg - T cos 45 =ma
mg - ma = ma
a = g/2 _ (2)
substituting this in equation (1) we get
T = mg/√2
drawing free body diagram for both A and B
T cos 45 =ma
T=√2 ma _ (1)
mg - T cos 45 =ma
mg - ma = ma
a = g/2 _ (2)
substituting this in equation (1) we get
T = mg/√2
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two beads A and B of equal mass m are connected by a light inextensible cord . they are constrained to move on a friction less ring in vertical plane . the blocks are released from rest what is tension in the cord just after the release
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two beads A and B of equal mass m are connected by a light inextensible cord . they are constrained to move on a friction less ring in vertical plane . the blocks are released from rest what is tension in the cord just after the release 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 two beads A and B of equal mass m are connected by a light inextensible cord . they are constrained to move on a friction less ring in vertical plane . the blocks are released from rest what is tension in the cord just after the release covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for two beads A and B of equal mass m are connected by a light inextensible cord . they are constrained to move on a friction less ring in vertical plane . the blocks are released from rest what is tension in the cord just after the release.
two beads A and B of equal mass m are connected by a light inextensible cord . they are constrained to move on a friction less ring in vertical plane . the blocks are released from rest what is tension in the cord just after the release 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 two beads A and B of equal mass m are connected by a light inextensible cord . they are constrained to move on a friction less ring in vertical plane . the blocks are released from rest what is tension in the cord just after the release covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for two beads A and B of equal mass m are connected by a light inextensible cord . they are constrained to move on a friction less ring in vertical plane . the blocks are released from rest what is tension in the cord just after the release.
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