Pearson Edexcel IAL Mathematics M2.2.3 Simple cases of equilibrium

Practise using centres of mass in simple equilibrium, including suspended laminas, pivots, horizontal forces and attached particles.

Exam points

use the line through the suspension point and centre of mass to find a hanging angle
take moments about a pivot or suspension point to find F, k or an attached particle mass

[Maximum number: 6]

The template T is freely suspended from A and hangs in equilibrium with AC at an angle $\theta$ to the downward vertical.

Find the exact value of $\tan\theta$

Moments about a perpendicular axis through A give x=5a

x=5a

\tan\theta=\frac{d}{x}

\tan\theta=\frac{\frac{4a}{\pi}}{5a}

\tan\theta=\frac{4}{5\pi}

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