The wheels, axle, and handles of a wheelbarrow weigh W = 52.2 N. The load chambe
ID: 2259927 • Letter: T
Question
The wheels, axle, and handles of a wheelbarrow weigh W = 52.2 N. The load chamber and its contents weigh WL = 651 N. The drawing shows these two forces in two different wheelbarrow designs. To support the wheelbarrow in equilibrium, the man's hands apply a force to the handles that is directed vertically upward. Consider a rotational axis at the point where the tire contacts the ground, directed perpendicular to the plane of the paper. Find the magnitude of the man's force for both designs.
Explanation / Answer
a).for 1st design; for rotational equilibrium about the given axis, the net torque about the axis must be zero. => WL*0.4 + W*(0.4+0.2) = F*(0.4 +0.2 +0.7) => 651 *0.4 + 52.2*0.6 = F*1.3 => F = 224.4 N b). for 2nd design; for rotational equilibrium about the given axis, the net torque about the axis must be zero. => WL*0 + W*0.6 = F*(0.6 +0.7) => 0 + 52.2*0.6 = F*1.3 => F = 24.09 N
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