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27 Nov 2019

A child weighing 200 N is swinging back and forth on a ropeattached to a tree branch. The rope is 3.7 m long and hasnegligible mass.
(a) At the lowest point of the swing, the child is moving withspeed 4.0 m/s. What is the tension in the rope at thisinstant?
(b) What is the direction and magnitude of the child’s accelerationat the highest point of the swing when the rope makes an angle ?with the vertical?
(c) What is the tension in the rope at the highest point of theswing?

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Bunny Greenfelder
Bunny GreenfelderLv2
20 Jan 2019

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Related textbook solutions

Physics: Principles with Applications
7th Edition, 2013
Giancoli
ISBN: 9780321625922

Related questions

1 A child weighing 220 N is swinging back and forth on a ropeattached to a tree branch. The
rope is 3.8 m long and has negligible mass.
a) At the lowest point of the swing, the child is moving with speed4.2 m/s. What is the tension
in the rope at this instant?
b) What is the direction and magnitude of the child’s accelerationat the highest point of the
swing when the rope makes an angle ? with the vertical?
c) What is the tension in the rope at the highest point of theswing?

Walking by a pond, you find a rope attached to a stout tree limb that is 5.2 m above ground level. You decide to use the rope to swing out over the pond. The rope is a bit frayed, but supports your weight. You estimate that the rope might break if the tension is 80 N greater than your weight. You grab the rope at a point 4.6 m from the limb and move back to swing out over the pond. (Model yourself as a point particle attached to the rope 4.6 m from the limb.) (a) What is the maximum safe initial angle between the rope and the vertical at which it will not break during the swing? (b) If you begin at this maximum angle, and the surface of the pond is 1.2 m below the level of the ground, with what speed will you enter the water if you let go of the rope when the rope is vertical?

Walking by a pond, you find a rope attached to a tree limb 5.2 moff the ground. You decide to use the rope to swing out over thepond. The rope is a bit frayed but supports your weight. Youestimate that the rope might break if the tension is 82 N greaterthan your weight. You grab the rope at a point 4.6 m from the limband move back to swing out over the pond. Assume your weight to be650 N (about 145 lb).
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(b) If you begin at this maximum angle, and the surface of the pondis 1.2 m below the level of the ground, with what speed will youenter the water if you let go of the rope when the rope isvertical?
m/s

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