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Determine $T$ and $m$.
Mathematics 9709 · AS & A Level · Forces and equilibrium
Forces and equilibrium — practice question
A block of mass $m\,\text{kg}$ is in equilibrium beneath a horizontal ceiling, supported by two strings as the diagram shows. One string makes an angle of $45^\circ$ to the horizontal and has tension $T\,\text{N}$. The other string makes an angle of $60^\circ$ to the horizontal and has tension $20\,\text{N}$.