For the forces F and G, where: F is a force of magnitude 25N acting in direction i- 4j + 8k • G is a force of magnitude 70 N acting in direction 2i+ 3j- 6k

Trigonometry (MindTap Course List)
8th Edition
ISBN:9781305652224
Author:Charles P. McKeague, Mark D. Turner
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Chapter2: Right Triangle Trigonometry
Section2.5: Vectors: A Geometric Approach
Problem 59PS
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Do part c and d only
For the forces F and G, where:
F is a force of magnitude 25N acting in direction i-4j + 8k
G is a force of magnitude 70 N acting in direction 2i + 3j - 6k
(a) Calculate the angle between F and G. Give your answer in degrees, to one decimal place.
(b) Calculate the magnitude R of the resultant force R F+ G. Give your answer in N, to
two decimal places.
(c) Calculate the component of F in the direction of G. Give your answer in N, to two
decimal places.
(d) If G acts at the point (5, 2,3), calculate the magnitude of the vector moment of G about
the point (6, 7, P). Give your answer to two decimal places.
Transcribed Image Text:For the forces F and G, where: F is a force of magnitude 25N acting in direction i-4j + 8k G is a force of magnitude 70 N acting in direction 2i + 3j - 6k (a) Calculate the angle between F and G. Give your answer in degrees, to one decimal place. (b) Calculate the magnitude R of the resultant force R F+ G. Give your answer in N, to two decimal places. (c) Calculate the component of F in the direction of G. Give your answer in N, to two decimal places. (d) If G acts at the point (5, 2,3), calculate the magnitude of the vector moment of G about the point (6, 7, P). Give your answer to two decimal places.
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