Solution: Three horizontal ropes pull on a large stone stuck

Chapter 1, Problem 1.6

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QUESTION:

Three horizontal ropes pull on a large stone stuck in the ground, producing the vector forces A S , B S , and C S shown in Fig. P1.60. Find the magnitude and direction of a fourth force on the stone that will make the vector sum of the four forces zero

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QUESTION:

Three horizontal ropes pull on a large stone stuck in the ground, producing the vector forces A S , B S , and C S shown in Fig. P1.60. Find the magnitude and direction of a fourth force on the stone that will make the vector sum of the four forces zero

ANSWER:

Step 1 of 5

Given data

Magnitude of vector   is  

Magnitude of vector  is  

Magnitude of vector  is

Direction of vector  from the positive x-axis is  

Direction of vector   from the positive y-axis is  

Direction of vector   from the negative x-axis is  

 

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