Two blocks of masses and are connected by a light inextensible string that passes…
PHYSICS · Subjective · AP · Physics 1: Algebra-based · Force and Translational Dynamics · Force and Translational Dynamics
Problem
Two blocks of masses m1=3.0kg and m2=2.0kg are connected by a light inextensible string that passes over a small smooth pulley fixed at the top of a rough fixed incline of angle 35∘ to the horizontal. The block of mass m1 rests on the incline, while m2 hangs freely. When the system is released from rest, it is observed that the blocks move with an acceleration of 0.50ms−2, the hanging block moving downward.
(i) Draw separate free–body diagrams for m1 and m2.
(ii) Obtain the two simultaneous equations of motion for the blocks.
(iii) Solve the equations to find the tension in the string.
(iv) Hence determine the coefficient of kinetic friction between m1 and the incline.