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23 Nov 2019
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 84 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).
(a) What is the maximum safe initial angle between the rope and thevertical so that it will not break during the swing?
1°
(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?
2 m/s
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 84 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).
(a) What is the maximum safe initial angle between the rope and thevertical so that it will not break during the swing?
1°
(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?
2 m/s
Reid WolffLv2
28 Sep 2019
