Answer to Question #1062 in Mechanics | Relativity for John

Question

A heavy mass on a frictionless ramp at an angle of 30 degrees drags a 2 kg mass upward using a pulley. if the tension in the rope is 30 N, what is the acceleration of the 2 kg mass?

Answer 1

Let's write II Newton's law for the mass:
ma = T - mg sin(α);
a = T/m - g sin(α) = 30/2 - 10 sin(30) = 10 m/s²