A 60.0-cm, uniform, 46.0-N shelf is supported horizontally by two vertical wires

Question

A 60.0-cm, uniform, 46.0-N shelf is supported horizontally by two vertical wires attached to the sloping ceiling (the figure (Figure 1) ). A very small 17.0-N tool is placed on the shelf midway between the points where the wires are attached to it.

Figure 1 of 1

Part A

Find the tension in left wire.

Part B

Find the tension in right wire.

TL =   N   A 60.0-cm, uniform, 46.0-N shelf is supported horizontally by two vertical wires attached to the sloping ceiling (the figure (Figure 1) ). A very small 17.0-N tool is placed on the shelf midway between the points where the wires are attached to it. Figure 1 of 1 Part A Find the tension in left wire. TL = N Part B Find the tension in right wire. TR = N

Explanation / Answer

let the tension in left wire be Tl and the tension in right wire be Tr

taking moment abt the right wire point of support,

Tl * 50 = 17 * 25 + 46 * 15
Tl = 22.3 N ---answer

since Tl + Tr = 17 +46

Tr = 63N ---answer

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