Question

A 10 pound object is suspended by a string from an overhead support. A horizontal force of 5.8 pounds is applied on the object. The measure of the angle which the string makes with the horizontal is
a. 30 degrees
b. 45 degrees
c. 60 degrees
d. 90 degrees

Answer 1

Question#19435

A 10 pound object is suspended by a string from an overhead support. A horizontal force of 5.8 pounds is applied on the object. The measure of the angle which the string makes with the horizontal is

a. 30 degrees

b. 45 degrees

c. 60 degrees

d. 90 degrees

Solution:

The angle which the string makes with the horizontal is:

$$t g \alpha = \frac {P}{F}$$ $$\alpha = \operatorname {arctg} _ {F} ^ {P}$$ $$\alpha = \operatorname {arctg} _ {5.8} ^ {10} = 60{}^{\circ}$$

Answer: "C".