Problem 4: 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. Show free body diagram for the system and the sum of the forces along the axis

College Physics
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ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
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Problem 4:
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. Show free body diagram for the system and the sum of the forces along
the axis
Transcribed Image Text:Problem 4: 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. Show free body diagram for the system and the sum of the forces along the axis
Expert Solution
Step 1

Here, it is given that , there are three forces which act on an object.

The mass of the object is m.

F1 = 500 N @ 45 degrees North of East

F2 = 750 N @ 30 degrees West of North

and 

F3 = 400 N @ 30 degrees South of West

We have to find the magnitude and direction of a fourth force, F4, that will maintain the object at equillibrium.

We have to show the free body diagram of the system and the sum of the forces along the axis.

Let's see how we do it :

 

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