A mass m1 = 28 kg on a frictionless ramp is attached to a light string. The string passes

over a frictionless pulley and is attached to a
hanging mass m2. The ramp is at an angle of
θ = 31° above the horizontal. m1 moves up
the ramp uniformly (at constant speed). Find
the value of m2.

1 answer

weight of slider = 28*9.8 = 274.4 Newtons
component of weight down slope
= 274.4 sin 31 = 141.3 N
so if it is at constant speed the tension in the string must be 141.3 N
so that is the weight of m2
m2 *9.8 = 141.3
m2 = 14.4 Kg