A body resting on a horizontal plane required a pull of 200N inclined at 40° to the plane to initiate the motion . it was also found that a push . determine weight of the body and coefficient of friction
Answers
Answer:
0.1714
Step-by-step explanation:
Weight of the body in newtons = W (Given)
Normal reaction = Rn (Given)
∅ = 30° (Given)
Coefficient of friction = u (Given)
Force of friction = F (Given)
Resolving the forces horizontally,
F = 220 cos 30º = 220 × 0.866 = 190.5 N
F = 180 cos 30º = 180 × 0.866 = 156 N
Now,
Resolving the forces vertically,
RN = W – 180 sin 30º = W – 180 × 0.5 =(W– 90) N.
where F = μ. Rn or 156 = μ (W – 90)
= RN =W+220 sin 30º = W + 220 × 0.5 = (W + 110) N
where F = μ. RN or 190.5 = μ (W + 110)
W = 1000 N, and μ = 0.1714
Thus, the weight of the body and the coefficient of friction is 0.1714
Answer:
0.1714
Step-by-step explanation:
Weight of the body in newtons = W (Given)
Normal reaction = Rn (Given)
∅ = 30° (Given)
Coefficient of friction = u (Given)
Force of friction = F (Given)
Resolving the forces horizontally,
F = 220 cos 30º = 220 × 0.866 = 190.5 N
F = 180 cos 30º = 180 × 0.866 = 156 N
Now,
Resolving the forces vertically,
RN = W – 180 sin 30º = W – 180 × 0.5 =(W– 90) N.
where F = μ. Rn or 156 = μ (W – 90)
= RN =W+220 sin 30º = W + 220 × 0.5 = (W + 110) N
where F = μ. RN or 190.5 = μ (W + 110)
W = 1000 N, and μ = 0.1714
Thus, the weight of the body and the coefficient of friction is 0.1714