m = 50kg a = 2,32m/s² μ = 0,268 α = 30°
a) Rezultanta fortelor (vectori) Ft, Ff, G si N R =ma
in lungul planului : |Ft·cosα | - | Ff | = ma
perpendicular pe plan : Ftsinα + N = G·cosα
Ft·cosα - μN = ma Ftcosα - μ(mgcosα - Ftsinα) = ma
Ft(cosα+ μsinα) = m(a + μgcosα) Ft = m(a+μgcosα) / (cosα +μsinα)
b) in lungul planului : Ftcosα - Ff = ma
_|_ pe plan : N = mgcosα + Ftsinα
Ftcosα - μN = ma Ftcosα - μ(mgcosα + Ftsinα) = ma
Ft(cosα - μsinα) = m( a + μgcosα) Ft = m(a +μgcosα) / (cosα - μsinα)