A 50.0-cm, uniform, 51.0-N shelf is supported horizontally by two vertical wires

Question

A 50.0-cm, uniform, 51.0-N shelf is supported horizontally by two vertical wires attached to the sloping ceiling (the figure (Figure 1) ). A very small 30.0-N tool is placed on the shelf midway between the points where the wires are attached to it.

Part A

Find the tension in left wire.

Part B

Find the tension in right wire.

Figure 1 of 1

A 50.0-cm, uniform, 51.0-N shelf is supported horizontally by two vertical wires attached to the sloping ceiling (the figure (Figure 1) ). A very small 30.0-N tool is placed on the shelf midway between the points where the wires are attached to it.

Part A

Find the tension in left wire.

TL =   N  

Part B

Find the tension in right wire.

TR =   N  

Figure 1 of 1

Explanation / Answer

Adding the moment on the left wire we get

? M = 0 = T1*30cm - 30N*15cm - 51N*25cm

30T1-450-1275=0

30T1=1725

T1=57.5N----Right wire

b)Now sum the vertical forces to find the tension in the left wire L.
T2+ T1 = shelf weight + tool weight

T2+57.5=50+31

T2+57.5=81

T2=81-57.5

T2=23.5 N---Left wire

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.