Suppose you pull a suitcase with a strap that makes a 60° angle with the horizontal. The magnitude of the force you exert on the suitcase is 24 lb. a. Find the horizontal and vertical components of the force. b. Is the horizontal component of the force greater if the angle of the strap is 45° instead of 60°? c. Is the vertical component of the force greater if the angle of the strap is 45° instead of 60°? ..... a. Consider the figure (not to scale) to the right. It shows the force vector F along with its horizontal and vertical components, Fy and Fy, respectively. Which of the following formulas will correctly evaluate F, and F,?

Elementary Geometry for College Students
6th Edition
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Author:Daniel C. Alexander, Geralyn M. Koeberlein
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Chapter3: Triangles
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Answer questions A, B and C please.

Suppose you pull a suitcase with a strap that makes a 60° angle with the horizontal. The magnitude of the force you exert on the suitcase is 24 Ib.
a. Find the horizontal and vertical components of the force.
b. Is the horizontal component of the force qreater if the angle of the strap is 45° instead of 60°?
c. Is the vertical component of the force greater if the angle of the strap is 45° instead of 60°?
a. Consider the figure (not to scale) to the right. It shows the force vector F along with its horizontal and vertical components, F., and F, respectively. Which of the following formulas will correctly evaluate F, and F,?
F
O A. F, = F| cot 0 and F, = F| tan 0
Fy = |F| cos 0 and F, = |F| sin 0
O C. F = |F| tan 0 and F, = |F| cot0
O D. F = |F| sin 0 and Fy = |F| cos 0
The horizontal and vertical components of the force are |)
(Type exact answers.)
Transcribed Image Text:Suppose you pull a suitcase with a strap that makes a 60° angle with the horizontal. The magnitude of the force you exert on the suitcase is 24 Ib. a. Find the horizontal and vertical components of the force. b. Is the horizontal component of the force qreater if the angle of the strap is 45° instead of 60°? c. Is the vertical component of the force greater if the angle of the strap is 45° instead of 60°? a. Consider the figure (not to scale) to the right. It shows the force vector F along with its horizontal and vertical components, F., and F, respectively. Which of the following formulas will correctly evaluate F, and F,? F O A. F, = F| cot 0 and F, = F| tan 0 Fy = |F| cos 0 and F, = |F| sin 0 O C. F = |F| tan 0 and F, = |F| cot0 O D. F = |F| sin 0 and Fy = |F| cos 0 The horizontal and vertical components of the force are |) (Type exact answers.)
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