A uniform wooden beam long has a mass of

MATHEMATICS · Subjective · A Level · Mathematics · Moments · Moments

Problem

A uniform wooden beam

3\,\text{m}

long has a mass of

20\,\text{kg}

. It is supported vertically by two ropes attached to its ends. A

40\,\text{kg}

sack is hung

1.0\,\text{m}

from the left end of the beam. Calculate the tension in each rope when the system is in equilibrium.