1. A 100 lb body is pulled up an inclined plane making an angle of 37 degrees with the horizontal by the rope that passes over the pulley at the top of the plane and is fastened to a 70lb. weight. Neglecting the effect of friction, find the acceleration of the body and the tension in the rope.

Answer 1

Let the tension be T and the acceleration be a.

Write separate free body diagram equations for the two weights

T - 100g*sin37 = 100 a
70 g - T = 70 a

170 a = 9.82 g

a = 0.058 m/s^2

Now solve for T