Sunday, April 5, 2015

Two forces acting on an object produce the maximum net force if they are acting at an angle of:Multiple choice: a) 0 degrees b) 45 degrees c) 90...

We have to deal with the additional vectorial structure called an inner product. In  this type of additional structure  each pair of vectors in the space is associated with a scalar quantity, called the inner product of the vectors.


In this case, the 2 forces are the 2 vectors above and if the 2 vectors are on the same dirrection and the same sense, the angle between 2 forces will be 0, so the maximum force will be reached at 0 degrees.


Explanation:


The inner product of the resultant force is


F1*F2=IF1I*IF2I*cos (F1,F2)


Wr know that the maximum value of the 


IF1I*IF2I*cos (F1,F2) is given by the maximum value of the cos (F1,F2)=1 when the angle between F1 and F2 is 0.


So the right answer is a) 0 degrees

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