Statics PRACTICE EXAM #2 METC 111 A wheelbarrow is stored in a garage in the man

Question

Statics PRACTICE EXAM #2 METC 111 A wheelbarrow is stored in a garage in the manner shown. Assuming that the that the weight of the rest of the wheelbarrow the cable attached to wall is also attached to the center of the wheel, find the tension in the cable and the tension or compression in the handles. handles are weightless, the wheel as shown, and that acts through the center of Treat the handles as a single "strut." Ignore that there are two handles.] GIVEN: WHEEL 579 HANDLES ACT AS SINGLE 73 STRUT

Explanation / Answer

Consider that the tension in the cable as Tc and tension in the handle as Th.
Equating the vertical components,
Tc cos(57) + Th sin(73) = mg
0.545 Tc + 0.956 Th = 16.5561 x 9.81            [36.5 lb = 16.5561 kg]
Tc = 298.21 - 1.7559 Th                        ...(1)     [Dividing with 0.545 and rearranging]

Equating the horizontal components,
Tc sin(57) = Th cos(73)
0.839 Tc = 0.292 Th
Tc = 0.349 Th                     ...(2)

Equating (2) and (3),
298.21 - 1.7559 Th = 0.349 Th
2.104 Th = 298.21
Th = 141.702 N       ...(3)

Substituting (3) in (2)
Tc = 0.349 x 141.702
= 49.4 N

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