SOLUTION: A 3 kg mass is hanging from the end of a string. If a horizontal force of 12N pulls the mass to the side a) Find the tension in the string b) Find the angle the string makes with

Algebra ->  College  -> Linear Algebra -> SOLUTION: A 3 kg mass is hanging from the end of a string. If a horizontal force of 12N pulls the mass to the side a) Find the tension in the string b) Find the angle the string makes with      Log On


   

Question 313641: A 3 kg mass is hanging from the end of a string. If a horizontal force of 12N pulls the mass to the side
a) Find the tension in the string
b) Find the angle the string makes with the vertical
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
the horizontal component of the string tension equals the horizontal force of 12N

the vertical component of the string tension equals the force of gravity ___ mg = 3 * 9.8 = 29.4N

a) by Pythagoras ___ T^2 = 12^2 + 29.4^2

b) the tangent of the angle is the horizontal component divided by the vertical component
___ tan(Θ) = 12 / 29.4