Level:
Project ID:
9000124504
Accepted:
1
Clonable:
0
Easy:
0
A force due to gravity on a body is
\(1\: 800\, \mathrm{N}\). This body has to be
lifted to the height \(50\, \mathrm{cm}\)
using a slope. The maximal force which can be used to lift the body is
\(600\, \mathrm{N}\).
Neglect the friction and find the minimal length of the slope required to accomplish
this task.Hint: The force due to gravity can be decomposed into two directions. The normal force
\(F_{1}\) is compensated by the reaction
of the slope. The force \(F_{2}\)
parallel to the slope is required to overcome if we wish to lift the body (see the picture).
\(\frac{3}
{2}\, \mathrm{m}\)
\(\frac{2}
{3}\, \mathrm{m}\)
\(\frac{1}
{6}\, \mathrm{m}\)
\(\frac{20}
{9} \, \mathrm{m}\)