Physics
posted by Neil .
Two blocks rest on two frictionless ramps. They are connected at the apex of each ramp by a string and pulley. The angle of ramp A with the ground is 45 degrees. Mass of Block B (on Ramp B) is 2 times that of Block A. What does the angle of Ramp B with the ground have to be in order for the blocks to remain at equilibrium?

m2=2•m1
m1•g•sinα =T
m2•g•sinβ=T
m1•g•sinα= m2•g•sinβ
m1• sinα=2•m1• sinβ
sinβ=sinα/2=sin45/2=0.354
β=arcsin0.354=20.7°