Answer to Question #215280 in Physics for Sera

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

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