Answer to Question #151830 in Physics for Cecilia Knight

Question

A block of mass M1 is connected by a string to a sphere of mass M2. The block is on a frictionless plane inclined at an angle of 30°, as shown in the figure on the right. The string passes over a pulley of negligible mass and friction, and the sphere hangs freely. Which of the following is always true if the block is accelerating down the incline?

Answer 1

$$(m_1+m_2)a=m_1g\sin{30}-m_2g>0\\m_1\sin{30}>m_2$$