Answer to Question #230218 in Physics for Abutu

Question

Two blocks of mass 3.50 kg and 8.00 kg are connected by a massless string that passes
over a frictionless pulley (Fig. below).The inclines are frictionless. Find (a) the
magnitude of the acceleration of each block and (b) the tension in the string

Answer 1

a)

$$-3.5(9.8)\sin 35+T=3.5a\\8(9.8)\sin 35-T=8a\\a=2.2\frac{m}{s^2}$$

b)

$$T=27.4\ N$$