Consider the following figure. (a) What is the mechanical advantage of a wheelba
ID: 1793232 • Letter: C
Question
Consider the following figure.
(a)
What is the mechanical advantage of a wheelbarrow, such as the one in the figure above, if the center of gravity of the wheelbarrow and its load has a perpendicular lever arm of 5.00 cm, while the hands have a perpendicular lever arm of 1.10 m?
(b)
What upward force (in N) should you exert to support the wheelbarrow and its load if their combined mass is 40.0 kg? (Enter the magnitude.)
N
(c)
What force (in N) does the wheel exert on the ground? (Enter the magnitude.)
N
Explanation / Answer
a)
mechanical advange = MA = 1.10/0.05 = 22
b)
W = weight = mg = 40 x 9.8 = 392 N
applied force = Fi = W/MA = 392/22 = 17.8
c)
using equilibrium of torque about center of gravity
Fi (li - lo) = N lo
Fi (MA - 1) = N
(17.8) (22 - 1) = N
N = 373.8 N
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