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Suppose you exert an upward force Fi to the handles of a wheelbarrow at a distance of li = 1.84 m?
Suppose you exert an upward force Fi to the handles of a wheelbarrow at a distance of li = 1.84 m to the left of the contact point between the wheel and the ground as shown in the figure below. The center of gravity of the loaded wheelbarrow is located at a distance of lo = 8.82 cm to the left of the contact point between the wheel and the ground.
What upward force Fi must you exert to support the wheelbarrow and its load if their combined mass is 103 kg? Assume 3 significant digits in your answer and assume units of Newtons.
1 Answer
- ?Lv 71 year ago
Impossible to tell because we do not know the location of the center of mass of the wheelbarrow.
If we assume that the center of mass of the wheelbarrow is concurrent with the center of mass of the load, and that the wheelbarrow is essentially horizontal, it becomes a simple summation of moments about the wheel to ground contact point.
Fi(1.84) - 103(9.8)(0.0882) = 0
Fi = 48.4 N
This is the combined force applied to both handles. If Fi is assumed to be on each handle, then the result would be half of this value.
