(Solved): Problem 5: Three blocks of masses m1=1kg,m2=2kg, and m3=4kg, are connected by massl ...

Problem $$5:$$ Three blocks of masses $$m_1=1\mathrm{kg},m_2=2\mathrm{kg}$$, and $$m_3=4\mathrm{kg}$$, are connected by massless strings, one of which passes over a frictionless pulley of negligible mass, as shown in the Figure below. Calculate each of the following. (a) $$a$$, the acceleration of the system. Answer: $$1.4\mathrm{m}/{\sec }^2$$. (b) $$T_1$$, the tension in the string connected to $$m_1$$. Answer: $$11.2\mathrm{N}$$. (c) $$T_2$$, the tension in the string connected to $$m_3$$. Answer: $$33.6\mathrm{N}$$.