How hard you must push down on the handle is by applying a force of 215.63 N
Moment of a force
The moment of a force about a point is the turning effect of the force about that point.
The moment of a force M = Fd where
- F = force and
- d = perpendicular distance of force from pivot point.
Now, for you to lift up the car, the moment due to your force about the fulcrum, M equals the moment due to the force on back of car. M'
M = M'
FD = F'd where
- F = Force applied,
- D = distance of force from fulcrum = 1.6 m,
- F' = force applied on back of car = 6900 N and
- d = distance of force on back of car from fulcrum = 0.050 m
Making F subject of the formula,we have
F = F'd/D
Substituting the values of the variables into the equation,we have
F = F'd/D
F = 6900 N × 0.050 m/1.6 m
F = 345 Nm/1.6 m
F = 215.625 N
F ≅ 215.63 N
So, how hard you must push down on the handle is by applying a force of 215.63 N
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