Review question

How are these connected particles held on a slope? Add to your resource collection Remove from your resource collection Add notes to this resource View your notes for this resource

Ref: R8335

Question

The diagram shows two particles $A$ and $B$ of masses $\quantity{0.2}{kg}$ and $\quantity{0.4}{kg}$ respectively lying on a rough slope inclined at an angle $\theta$ to the horizontal where $\tan\theta=\frac{3}{4}$. The coefficient of friction between the particles and the slope is $\frac{1}{4}$. A light inextensible string joins $A$ to $B$ and the system is just maintained in equilibrium, with both particles about to move up the slope, by a force on $B$ of $\quantity{P\,}{N}$, acting up the slope.

[Take $g$ to be $\quantity{10}{m\,s^{-2}}$.]

Calculate

1. the value of $P$,

2. the tension in the string.