11. Bob is sitting on a swing that has a rope hooked up to it. The rope then goes through a pulley attached to a tree above him, and the loose end of the rope is then put in Bob's hand as he sits on the swing. In this way Bob can pull the swing and himself up by pulling down on the rope. The rope is nearly massless, so it has a constant tension throughout - this means that the force with which Bob pulls down on its loose end is equal to the force that the rope exerts on the swing with the tied end. Bob's mass is 100 kg, the swing's mass is 30 kg, and Bob's pulling force is 800N, which means that the tension in the rope is 800N. a) Draw a single free body diagram, treating Bob and the swing as a single object, for use in part b. Also draw the free body diagram for Bob alone, which you'll use to solve part c. b) Apply Newton's 2nd Law to your first diagram, and then solve it for the acceleration a. c) If Bob was sitting on a scale while this was going on, the scale would read the normal force on Bob from the swing, which is called the apparent weight. Find Bob's apparent weight while he's accelerating upward. Hint: this is similar to the turtle in the elevator, except that Bob has both tension and normal force acting upward on him.

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11. Bob is sitting on a swing that has a rope hooked up to it. The rope then goes through a pulley attached
to a tree above him, and the loose end of the rope is then put in Bob's hand as he sits on the swing. In this
way Bob can pull the swing and himself up by pulling down on the rope.
The rope is nearly massless, so it has a constant tension throughout - this means that the force with which
Bob pulls down on its loose end is equal to the force that the rope exerts on the swing with the tied end.
Bob's mass is 100 kg, the swing's mass is 30 kg, and Bob's pulling force is 800N, which means that the
tension in the rope is 800N.
a) Draw a single free body diagram, treating Bob and the swing as a single object, for use in part b. Also
draw the free body diagram for Bob alone, which you'll use to solve part c.
b) Apply Newton's 2nd Law to your first diagram, and then solve it for the acceleration a.
c) If Bob was sitting on a scale while this was going on, the scale would read the normal force on Bob
from the swing, which is called the apparent weight. Find Bob's apparent weight while he's accelerating
upward. Hint: this is similar to the turtle in the elevator, except that Bob has both tension and normal
force acting upward on him.
Transcribed Image Text:11. Bob is sitting on a swing that has a rope hooked up to it. The rope then goes through a pulley attached to a tree above him, and the loose end of the rope is then put in Bob's hand as he sits on the swing. In this way Bob can pull the swing and himself up by pulling down on the rope. The rope is nearly massless, so it has a constant tension throughout - this means that the force with which Bob pulls down on its loose end is equal to the force that the rope exerts on the swing with the tied end. Bob's mass is 100 kg, the swing's mass is 30 kg, and Bob's pulling force is 800N, which means that the tension in the rope is 800N. a) Draw a single free body diagram, treating Bob and the swing as a single object, for use in part b. Also draw the free body diagram for Bob alone, which you'll use to solve part c. b) Apply Newton's 2nd Law to your first diagram, and then solve it for the acceleration a. c) If Bob was sitting on a scale while this was going on, the scale would read the normal force on Bob from the swing, which is called the apparent weight. Find Bob's apparent weight while he's accelerating upward. Hint: this is similar to the turtle in the elevator, except that Bob has both tension and normal force acting upward on him.
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