Consider a version of the atwood machine in which the masses are frictionless incline. The mass sliding on incline 1, m1, is 1.5 kg, and the angle of this incline is 62 deg. If the mass on the second incline, m2, is 2.5 kg, what is the angle 2 so that the system does not accelerate?

Answer 1

Did you leave out some words in the first sentence? The masses are not the incline.

There will be no system acceleration if the components of both weights in their respective directions down the incline slope are equal.

That will happen if m1*sin62 = m2*sinX
Solve for angle X

sinX = 0.5298
X = ?