What force must be applied to lift the trolley m = 30 kg along the inclined
| August 16, 2021 | education
What force must be applied to lift the trolley m = 30 kg along the inclined plane, if the height of the inclined plane is 50 cm and the length is 3 m.
m = 30 kg.
g = 9.8 m / s2.
h = 50 cm = 0.5 m.
L = 3 m.
F -?
According to Newton’s 1 law, a body will move uniformly in a straight line if the action of forces on it is compensated: F + m * g + N = 0.
Let’s write 2 Newton’s law for projections on the corresponding axes.
ОХ: F – m * g * sinα = 0.
OU: N – m * g * cosα = 0.
F = m * g * sinα.
sinα = h / L.
The formula for determining the force F will take the form: F = m * g * h / L.
F = 30 kg * 9.8 m / s2 * 0.5 m / 3 m = 49 N.
Answer: to lift the cart along an inclined plane, force F = 49 N.
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