30. Given a strong chain and a convenient tree, could you pull your car out of a ditch in the following way? Fasten the chain to the car and to the tree. Pull with a force F at the center of the chain as shown in the figure. From mechanics, we have F = 2T sin 0, or T = F/(2 sin 0), where T is the tension in the chain, that is, the force exerted on the car. Tree Car 20 ft T (a) Find T as x times a series of powers of x. -1 (b) Find T as 0- times a series of powers of 0.

Physics for Scientists and Engineers, Technology Update (No access codes included)
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Author:Raymond A. Serway, John W. Jewett
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Chapter5: The Laws Of Motion
Section: Chapter Questions
Problem 5.97CP: The board sandwiched between two other boards in Figure P5.97 weighs 95.5 N. If the coefficient of...
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30. Given a strong chain and a convenient tree, could you pull your car out of a ditch
in the following way? Fasten the chain to the car and to the tree. Pull with a
force F at the center of the chain as shown in the figure. From mechanics, we have
F = 2T sin 0, or T = F/(2 sin 0), where T is the tension in the chain, that is, the
force exerted on the car.
Tree
Car
20 ft
T
(a) Find T as x times a series of powers of x.
-1
(b) Find T as 0- times a series of powers of 0.
Transcribed Image Text:30. Given a strong chain and a convenient tree, could you pull your car out of a ditch in the following way? Fasten the chain to the car and to the tree. Pull with a force F at the center of the chain as shown in the figure. From mechanics, we have F = 2T sin 0, or T = F/(2 sin 0), where T is the tension in the chain, that is, the force exerted on the car. Tree Car 20 ft T (a) Find T as x times a series of powers of x. -1 (b) Find T as 0- times a series of powers of 0.
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