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The wheels, axle, and handles of a wheelbarrow weigh W = 60 N. The load chamber

ID: 2136764 • Letter: T

Question

The wheels, axle, and handles of a wheelbarrow weigh W = 60 N. The load chamber and its contents weigh WL = 669 N. The drawing shows these two forces in two different wheelbarrow designs. To support the wheelbarrow in equilibrium, the man

Chapter 09, Problem 18 GO The wheels, axle, and handles of a wheelbarrow weigh W = 60 N. The load chamber and its contents weigh WL = 669 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

Weight of the wheelbarrow, W = 60 N

Weight of the load, WL = 669 N

Case (a) :

Underequilibrium conditions,

CounterclockwiseTorque = Clockwise Torque

F ( 0.4 +0.2 + 0.7 ) = WL * 0.4 + W ( 0.4 + 0.2 )

F * 1.3 =669 * 0.4 + 60 * 0.6

F =233.538461538 N


Case (b) :

Underequilibrium conditions,

CounterclockwiseTorque = Clockwise Torque

F ( 0.6 +0.7 ) = WL * 0 + W ( 0.6 )

F * 1.3= 60 * 0.6

F = 27.6923076923 N