Two bodies P and Q are connected by a string over a pulley. P is on an inclined plane. Find the acceleration if mP=10kg, mQ=20kg, theta=30deg, mu=2/5, g=10m/s2.

Part 2(i):
We have two bodies, P and Q, connected by a string over a pulley. Body P is on an inclined plane, and body Q hangs vertically.

Given:
Mass of P, $m_P = 10$ kg
Mass of Q, $m_Q = 20$ kg
Angle of inclination, $\theta = 30^\circ$
Coefficient of friction, $\mu = \frac{2}{5}$
Acceleration due to gravity, $g = 10$ m/s$^2$

First, we determine the direction of motion.
Force pulling P down the incline due to gravity: $m_P g \sin\theta