A boy of mass40kg climbs up a rope with an acceleration of 2meter per second square.what is tension in the rope
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When the boy is hanging at the bottom of the rope, it is just his weight that is providing the tension in the rope. Then we he starts to climb up, he has to exert extra force on the rope in order to pull himself up. Therefore, there are two forces that add together to create the total tension on the rope: the weight of the boy and the force the boy exerts to climb up the rope.
The weight (force) of the boy can be found with: F_weight=mass*acceleration. Here acceleration is the acceleration due to gravity. The force the boy exerts to climb can also be found with: F_climbing=mass*acceleration. Here acceleration is the boy’s acceleration (2 meters per second). Then you can add F_weight and F_climbing together to get the total tension in the rope.
Note that here, as with most physics problems, you can assume the rope has no mass, as the weight of the rope has a negligible effect on the calculation of the tension. Also, to be clear, when I write “F_weight,” I am simply taking the equation “F=ma” and labelling the “F” to denote that is represents the weight of the boy
I hope this will help you
if not then comment me
The weight (force) of the boy can be found with: F_weight=mass*acceleration. Here acceleration is the acceleration due to gravity. The force the boy exerts to climb can also be found with: F_climbing=mass*acceleration. Here acceleration is the boy’s acceleration (2 meters per second). Then you can add F_weight and F_climbing together to get the total tension in the rope.
Note that here, as with most physics problems, you can assume the rope has no mass, as the weight of the rope has a negligible effect on the calculation of the tension. Also, to be clear, when I write “F_weight,” I am simply taking the equation “F=ma” and labelling the “F” to denote that is represents the weight of the boy
I hope this will help you
if not then comment me
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