Standard +0.3 This is a standard M1 inclined plane problem requiring resolution of forces, friction calculation, and Newton's second law. While it involves multiple steps (finding sin θ and cos θ from tan θ, resolving perpendicular for normal reaction, calculating friction, resolving parallel, applying F=ma), these are all routine procedures that follow a well-practiced method with no novel insight required. Slightly above average difficulty due to the multi-step nature and need for careful trigonometry.
A small brick of mass 0.5 kg is placed on a rough plane which is inclined to the horizontal at an angle \(\theta\), where \(\tan \theta = \frac{4}{3}\), and released from rest. The coefficient of friction between the brick and the plane is \(\frac{1}{3}\).
Find the acceleration of the brick. [9]
A small brick of mass 0.5 kg is placed on a rough plane which is inclined to the horizontal at an angle $\theta$, where $\tan \theta = \frac{4}{3}$, and released from rest. The coefficient of friction between the brick and the plane is $\frac{1}{3}$.
Find the acceleration of the brick. [9]
\hfill \mbox{\textit{Edexcel M1 2009 Q4 [9]}}