F 1 = 18 N F_1= 18N F 1 = 18 N
let F ⃗ resultant force \text{let }\vec F \text{ resultant force} let F resultant force
F ⃗ = m a ⃗ \vec F= m \vec a F = m a
a ⃗ = 0 since the body is hauled \vec a = 0 \text{ since the body is hauled} a = 0 since the body is hauled
F ⃗ = 0 \vec F=0 F = 0
F ⃗ = F ⃗ 1 + F ⃗ f r + N ⃗ \vec F = \vec F_1+\vec F_{fr}+\vec N F = F 1 + F f r + N
for vertical axis Y: \text{for vertical axis Y:} for vertical axis Y:
N ⃗ − m g + F ⃗ 1 sin 14 ° = 0 \vec N-mg+\vec F_1\sin14\degree= 0 N − m g + F 1 sin 14° = 0
N ⃗ = m g − F ⃗ 1 sin 14 ° = 50 − 18 ∗ sin 14 ° = 45.66 \vec N =mg - \vec F_1\sin14\degree= 50-18*\sin14\degree=45.66 N = m g − F 1 sin 14° = 50 − 18 ∗ sin 14° = 45.66
for horizontal axis X: \text{for horizontal axis X:} for horizontal axis X:
F ⃗ 1 cos 14 ° − F f r = 0 \vec F_1 \cos14\degree-F_{fr}=0 F 1 cos 14° − F f r = 0
F f r = F ⃗ 1 cos 14 ° = 18 ∗ cos 14 ° = 17.47 F_{fr}=\vec F_1 \cos14\degree=18*\cos14\degree=17.47 F f r = F 1 cos 14° = 18 ∗ cos 14° = 17.47
μ = F f r N = 17.47 45.66 = 0.383 \mu= \frac{F_{fr}}{N}=\frac{17.47}{45.66}=0.383 μ = N F f r = 45.66 17.47 = 0.383
Answer: μ = 0.383 \text{Answer: } \mu= 0.383 Answer: μ = 0.383
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