Question

Two masses are connected and placed on an frictionless inclined plane which makes 30o with the horizontal as shown in the figure below. The system is then pulled with a string which is parallel to the plane. If the pull in the string is 60 N, m1 = 4kg and m2 = 2kg, find the tension in the tension in the string which connects the two masses.

Answer 1

$$(4+2)a=60-(4+2)(9.8)\sin{30}\\a=5.1\frac{m}{s^2}\\T=(2)(5.1+9.8\sin{30})=20\ N$$