a mass of 200 Kg is placed on a rough inclined plane of 30 degree angle if coefficient of limiting friction is 1÷_/2 (1 divided by root 2) find the greatest 8 least forces in Newton acting parallel on a plane to keep the mass in equilibrium
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HELLO MATE
Greatest Force - 1960N
Least Foce - 0N
Explanation:
R=mgcosθ
fmax= μR = μMG COSθ
So the greatest force requires to keep the body in equilibrium
Fmax = mgsinθ + fmax = mgsinθ +μmgcosθ
= 200 x 9.8 {1/2 +1/√3 x √3/2} = 1960N
Fmin = mgsinθ -fmax
= mgsinθ - μmgcosθ
mg{sinθ - μcosθ}
=200 x 9.8{1/2 - 1/√3 x √3/2}
=200 x 9.8 x 0
=0N
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