In: Physics
Find the magnitude and direction of the resultant of two concurrent forces of 50 and 75 N acting on a body at angle of 50 degrees with each other Use the graphical method and the algerbraic method
Concurrent forces means forces acting through a single point.
Therefore,
resultant is given as
R2 = A2 + B2 + 2AB*cos
R2 = 50 2 + 752 + 2*50*75 * cos 50
R2 = 12945.9
R2 = 12946
R = 113.78 N
R = 113.8 N <---------- magnitude
Now,
sin = (75 / 113.8) * sin 50
sin = 0.504862
= arcsin (0.504862)
= 30.3o <-------------------- direction
------------------------------------------------------------------
USING GRAPHICAL METHOD ( YOU CAN DO THIS USING A RULER AND A PROTRACTOR)
Draw 50 N force (take 10 N = 1 cm on a ruler)
then from the head of 50 N, draw another vector fro 75 N (7.5 cm) at an angle of 50 N ( 5.0 cm) (see the diagram above)
Now, draw a resultant line starting from the tail of 50 N vector to the head of 75 N vector. Then measure the length of this line, it will be 11.38 cm means 113.8 N