(a)[3]
Find the magnitude of the force in each strut $AD$ and $BD$.
(b)[3]
Find the value of $F$ when a horizontal force of magnitude $F\text{ N}$ is applied to the block parallel to $AB$, and the force in strut $AD$ has magnitude zero.
Mathematics 9709 · AS & A Level · Forces and equilibrium
Forces and equilibrium — practice question
The diagram depicts a block $D$ of mass $100\text{ kg}$ held up by two inclined struts $AD$ and $BD$, each fixed at an angle of $45^\circ$ to points $A$ and $B$ respectively on a horizontal floor. The block is additionally secured by a vertical rope $CD$ attached to a fixed point $C$ on a horizontal ceiling. The tension in rope $CD$ is $500\text{ N}$, and the block is in equilibrium.