A force$,$ $F,$ has a horizontal component$,$ $F_x,$ of $10 \mathrm{N}$ and acts at $20°$ above the rightwards horizontal, as shown in the diagram. Find $F$ and the vertical component$,$ $F_y.$

A particle in equilibrium has three forces of magnitudes $5 \mathrm{N}, 6 \mathrm{N}$ and $F \mathrm{N}$ acting on it in the horizontal plane in the directions shown. Find the values of $F$ and $\theta .$

A lightshade of mass $2 \mathrm{kg}$ is hung from the ceiling by two strings. One is fixed with tension $8 \mathrm{N}$ at $20°$ to the vertical. The other is fixed with tension $T \mathrm{N}$ at an angle $\theta$ to the vertical.

By modelling the lightshade as a particle, draw a force diagram for this situation.

A lightshade of mass $2 \mathrm{kg}$ is hung from the ceiling by two strings. One is fixed with tension $8 \mathrm{N}$ at $20°$ to the vertical. The other is fixed with tension $T \mathrm{N}$ at an angle $\theta$ to the vertical.

Resolve horizontally to find a value for $T\sin \theta$ and resolve vertically to find a value for $T\cos \theta .$

A lightshade of mass $2 \mathrm{kg}$ is hung from the ceiling by two strings. One is fixed with tension $8 \mathrm{N}$ at $20°$ to the vertical. The other is fixed with tension $T \mathrm{N}$ at an angle $\theta$ to the vertical.

Hence, find the values of $T$ and $\theta .$