Physics  Vectors/Forces
posted by Demitrio .
A 10 kg weight is on an inclined plane 10 ft long and 6 ft high. If there is no friction, what force parallel to the plane will prevent the body from sliding?

Given: 10 kg, 10 ft and 6 ft.
Solution:
Find the force parallel to the plane
Sin A = opposite/hypotenuse
Sin A = 6ft/10ft
= 0.6 ft.
Find the A of the sin.
A = sin^1(6ft/10ft)
A = 36.87°
Find f1 and f2:
Note: m (mass)
g (gravity pulls) = 9.81 m/s^2
F1= sin (teta) x mg
= sin 36.87° x 10 kg(9.81m/s^2)
F1 = 58.86 N prevent the body from sliding
F2 = cos (teta) x mg
F2 = cos 36.87° x 10 kg(9.81m/s^2)
F2 = 78.48 N vertical mass 
(6/10) 10 g = 6 g = 6*9.81 = 58.86 Newtons
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