(i)[5]
By taking moments around $D$, show that the rope tension is $146\,\text{N}$, correct to $3$ significant figures.
(ii)[4]
Given that the block is in limiting equilibrium, determine the coefficient of friction between the block and the floor.
Mathematics 9709 · AS & A Level · Probability
Probability — practice question
$ABCD$ shows the cross-section through the centre of mass of a uniform rectangular block weighing $260\,\text{N}$. The sides $AB$ and $BC$ measure $1.5\,\text{m}$ and $0.8\,\text{m}$ respectively. The block is in equilibrium with point $D$ resting on a rough horizontal floor. A light rope connects point $A$ on the block to point $E$ on the floor, maintaining equilibrium. The points $E$, $A$ and $B$ are on one straight line that is inclined at $30^\circ$ to the horizontal (see diagram).