Problem 5. Hauling a boat. You have a new 1000 lb boat that you are going to need to pull out of the water across a (slippery) File Preview e by hooking a winch to it. The shore is sloping up at an angle of 20 degrees. You need to figure out if you can pull it up with a hand winch, and if so, what kind should you buy. You have the choice between a 4 inch diameter winch or a more expensive 8 inch diameter winch. Both have 1 ft long handles. boat launch winch winch handle (a) Look closely at the diagram of the winch. How does the force you apply to the handle relate to the force the cable can exert on the boat (mathematically)? Hint: the size of the handle and the winch are important. (b) Draw a force diagram for the boat. What is the magnitude of the tension in the cable required to move the boat? (c) Will you be able to drag your boat up the slope by hand with either or both winches? Make a reasonable estimate of how much force a human can provide to the winch handle

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Problem 5. Hauling a boat.
You have a new 1000 lb boat that you are going to need to pull out of the water across a (slippery)
File Preview e by hooking a winch to it. The shore is sloping up at an angle of 20 degrees. You need
to figure out if you can pull it up with a hand winch, and if so, what kind should you buy. You
have the choice between a 4 inch diameter winch or a more expensive 8 inch diameter winch. Both
have 1 ft long handles.
boat launch winch
winch handle
(a) Look closely at the diagram of the winch. How does the force you apply to the handle relate
to the force the cable can exert on the boat (mathematically)? Hint: the size of the handle
and the winch are important.
(b) Draw a force diagram for the boat. What is the magnitude of the tension in the cable required
to move the boat?
(c) Will you be able to drag your boat up the slope by hand with either or both winches? Make
a reasonable estimate of how much force a human can provide to the winch handle
Transcribed Image Text:Problem 5. Hauling a boat. You have a new 1000 lb boat that you are going to need to pull out of the water across a (slippery) File Preview e by hooking a winch to it. The shore is sloping up at an angle of 20 degrees. You need to figure out if you can pull it up with a hand winch, and if so, what kind should you buy. You have the choice between a 4 inch diameter winch or a more expensive 8 inch diameter winch. Both have 1 ft long handles. boat launch winch winch handle (a) Look closely at the diagram of the winch. How does the force you apply to the handle relate to the force the cable can exert on the boat (mathematically)? Hint: the size of the handle and the winch are important. (b) Draw a force diagram for the boat. What is the magnitude of the tension in the cable required to move the boat? (c) Will you be able to drag your boat up the slope by hand with either or both winches? Make a reasonable estimate of how much force a human can provide to the winch handle
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