An object of mass m is being acted by the following 3 forces: F1 = 500 N @ 45⸰ North of East, F2 = 750 N @ 30⸰ West of North and F3 = 400 N @ 30⸰ South of West.  Find mathematically the magnitude and direction of a fourth force F4 that will maintain the object at equilibrium.  Ignore the weight of the object. Provide free body diagram for the system and the sum of the forces along the axis.

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 29PQ: Two forces F1=(62.98i15.80j) N and F2=(23.66i78.05j) are exerted on a particle. The particles mass...
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An object of mass m is being acted by the following 3 forces: F1 = 500 N @ 45 North of East, F2 = 750 N @ 30 West of North and F3 = 400 N @ 30 South of West.  Find mathematically the magnitude and direction of a fourth force F4 that will maintain the object at equilibrium. 

Ignore the weight of the object.

Provide free body diagram for the system and the sum of the forces along the axis.

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