Question

A student hangs a mass of 150 g on a force table at an angle of 150 degrees . If she then hangs a mass of 220 g at 270 degrees.

A) at what angle should she hang a mass of 195 g so that the ring is in equilibrium?

B) Draw the vectors

Answer 1

Horizontally: 150g*cos150 + 220g*cos270 + 195g*cosΘ = 0
cosΘ = 0.666
Θ = ± 48º
Vertically:
150g*sin150 + 220g*sin270 + 195g*sinΘ = 0
sinΘ = 0.744
Θ = 48º