(a)[4]
Show that the following relationship holds: $\left(\frac{14.4}{30 - P}\right)^2 + \left(\frac{28.8}{P + 30}\right)^2 = 1$.
(b)[2]
Verify that $P = 6$ satisfies the equation and determine the value of $\theta$.
Mathematics 9709 · AS & A Level · Forces and equilibrium
Forces and equilibrium — practice question
Forces of magnitudes $30\text{ N}$, $15\text{ N}$, $33\text{ N}$ and $P\text{ N}$ act together at a point in the directions shown in the diagram, where $\tan \alpha = \frac{4}{3}$. The forces are in equilibrium.
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