Two forces F1 and F2 are applied at the same point of an object. F1 has a magnitude of 20 N and is directed at an angle of 120 degrees with respect to the positive x axis. F2 has a magnitude of 5 N and is directed at an angle of -30 degrees with respect to the positive x axis. Determine net force acting on the object in i, j, k unit notation.

The value is  

Explanation:

From the question we are told that

   The magnitude of the first force is  

    The angle which it makes with the x-axis is  

    The magnitude of the second force is  

     The angle which it make with x-axis is  

Generally the x-component of the first force is  

       '

=>    

Generally the y-component of the first force is  

=>    

Generally the vector representation of the first force is mathematically represented as

Generally the x-component of the second force is  

=>    

Generally the y-component of the second force is  

=>    

Generally the vector representation of the first force is mathematically represented as

Generally the net force acting that point is mathematically represented as

=>    

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