Question

Find the resultant of two forces, one of 72 pounds and the other of 56 pounds, if they act at a point at an angle of 37 degrees.
show work please!
choices :
43 lb.
108 lb.
121 lb.

Answer 1

Answer:

The resultant of two forces is 43 lb.

Step-by-step explanation:

First force ($F_{1}$)= 72 pound

Second force ($F_{2}$)= 56 pound

Angle between two force (α) = 37°

Now using the relation as:

  Resultant force (R²) = $F_{1}$² + $F_{2}$² - 2× $F_{1}$ × $F_{2}$ × Cosα

                         or, R² = 72² + 56² - 2× 72× 56× Cos(37)

                         or, R²= 8320 - 8064× 0.798

                         or, R= $\sqrt{1884.9}$

                          ∴ R= 43 lb

Hence the resultant of two forces is 43lb.