55. A boat and trailer weighing a total of 450 lb are parked on a boat ramp with an 18° angle of inclination. Assume that the weight of the boat and trailer is evenly distributed between two wheels. (See Example 5) 18° F F2 a. Write the force vector F in terms of i and j representing the weight of the boat and trailer for a single tire. b. Find the component vector of F parallel to the ramp. Round values to 1 decimal place. c. Find the magnitude of the force needed to keep the trailer from moving down the ramp. Round to the nearest pound.

Trigonometry (MindTap Course List)
8th Edition
ISBN:9781305652224
Author:Charles P. McKeague, Mark D. Turner
Publisher:Charles P. McKeague, Mark D. Turner
Chapter2: Right Triangle Trigonometry
Section2.5: Vectors: A Geometric Approach
Problem 59PS
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55. A boat and trailer weighing a total of 450 lb are parked
on a boat ramp with an 18° angle of inclination.
Assume that the weight of the boat and trailer is evenly
distributed between two wheels. (See Example 5)
18°
F
F2
a. Write the force vector F in terms of i and j
representing the weight of the boat and trailer for
a single tire.
b. Find the component vector of F parallel to the ramp.
Round values to 1 decimal place.
c. Find the magnitude of the force needed to keep the
trailer from moving down the ramp. Round to the
nearest pound.
Transcribed Image Text:55. A boat and trailer weighing a total of 450 lb are parked on a boat ramp with an 18° angle of inclination. Assume that the weight of the boat and trailer is evenly distributed between two wheels. (See Example 5) 18° F F2 a. Write the force vector F in terms of i and j representing the weight of the boat and trailer for a single tire. b. Find the component vector of F parallel to the ramp. Round values to 1 decimal place. c. Find the magnitude of the force needed to keep the trailer from moving down the ramp. Round to the nearest pound.
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