In the diagram below, the tension in each wire is shown. What is the weight (in N) of the chandelier supported by these wires? Assume that the chandelier is held in equilibrium along horizontal direction by external agent.
$W = ?$

Question

In the diagram below, the tension in each wire is shown. What is the weight (in N) of the chandelier supported by these wires? Assume that the chandelier is held in equilibrium along horizontal direction by external agent.

$W = ?$

TestHub · Accepted Answer

Only vertical equilibrium involves the weight

$W = 427 cos (9 0^{\circ} - 5 3^{\circ}) + 274 cos (9 0^{\circ} - 3 7^{\circ})$

$W = 427 sin 5 3^{\circ} + 274 sin 3 7^{\circ} = 427 \times 0.8 + 274 \times 0.6$

$W = 341.6 + 164.4 = 506$ N

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