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μ = 1/3
d max = . . . . . . ?
Penyelelesaian
Perhatikan gaya gaya yang bekerja pada lampiran
Gaya ke kiri & ke bawah = negatif (-)
Gaya ke kanan & ke atas = posotif (+)
Syarat kesetimbangan :
ΣFx = 0
N2 - f1 = 0
N2 - N1 . μ = 0
N2 = N1 . μ
N2 = N1 . ⅓
N2 = ⅓N1 . . . . . (1)
ΣFy = 0
N1 + f2 - F - W = 0
N1 + N2 . μ - 4W - W = 0
N1 + N2 . ⅓ - 5W = 0
N1 + ⅓N2 - 5W = 0 . . . . . (2)
Substitusi persamaan (1) ke persamaan (2)
N1 + ⅓N2 - 5W = 0
N1 + ⅓(⅓N1) - 5W = 0
N1 + 1/9N1 = 5W
9N1 + 1/9N1 = 5W
10/9N1 = 5W
N1 = 5W / (10/9)
N1 = 45W/10
N1 = 9W/2
N2 = ⅓N1
N2 = ⅓ (9W/2)
N2 = 3W/2
Στ O = 0
Gaya f1 & f2 menyebabkan roda berputar searah jarum jam (tanda +)
Gaya F menyebabkan rodam berputar berlawanan arah jarum jam (tanda -)
Στ O = 0
f1 . r + f2 .
(μ . N1 . r) + (μ . N2 . r) - (F . d) = 0
(⅓ . 9W/2 . r) + (⅓ . 3W/2 . r) - (4W . d) = 0
3Wr/2 + Wr/2 - 4Wd = 0
4Wr/2 - 4Wd = 0
4Wr/2 = 4Wd
r/2 = d
d = r/2
Jadi, nilai maksimum dari d adalah r/2 (Jawaban C)
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Tingkat : SMA
Kelas : 11
Pelajaran : Fisika
BAB : Dinamika Rotasi dan Kesetimbangan Benda Tegar
Kata Kunci : Gaya mendatar minimum
Kode Kategorisasi : 11.6.7
Simak lebih lanjut di : brainly.co.id/tugas/16959870
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