1.Two masses $m_1 = 3\text{ kg}$ and $m_2 = 5\text{ kg}$ connected by a light string pass over a frictionless pulley. Find system acceleration and string tension.
2.A block slides down an inclined plane of angle $\theta=30^\circ$ with coefficient of kinetic friction $\mu_k = 0.2$. Find acceleration of the block.
3.Derive maximum safe speed for a car negotiating a banked circular road of radius $R$ and banking angle $\theta$ with friction coefficient $\mu$.
