A particle, which remains at rest, is acted on by three forces F, G and H. The force F has magnitude 18N and is directed to the left and down, making an angle of 40 degrees with the vertical. The force G has magnitude 15N and is directed to the right and down, making an angle of 70 degrees with the horizontal. Find the magnitude of the vector H and the acute angle it makes with the horizontal.

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter5: Newton's Laws Of Motion
Section: Chapter Questions
Problem 32PQ: If the vector components of the position of a particle moving in the xy plane as a function of time...
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A particle, which remains at rest, is acted on by three forces F, G and H. 
The force F has magnitude 18N and is directed to the left and down, making an angle of 40 degrees with the vertical. 
The force G has magnitude 15N and is directed to the right and down, making an angle of 70 degrees with the horizontal. 
Find the magnitude of the vector H and the acute angle it makes with the horizontal. 

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