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Balok diam diatas bidang miring pada sudut kemiringan 40° balok mulai bergerak,tentukan koefisien gesek statis antara balok dan bidang miring

Sagot :

boffeemadrid

Answer:

0.84

Explanation:

m = Massa balok

g = Percepatan gravitasi

[tex]\theta[/tex] = Sudut kemiringan

[tex]\mu[/tex] = Koefisien gesekan statik antara balok dan bidang miring

Gaya balok karena beratnya diberikan oleh

[tex]F=mg\sin\theta[/tex]

Gaya gesekan diberikan oleh

[tex]f=\mu mg\cos\theta[/tex]

Kondisi dimana balok mulai bergerak adalah ketika gaya balok akibat beratnya sama dengan gaya gesek pada balok.

[tex]mg\sin\theta=\mu mg\cos\theta\\\Rightarrow \mu=\dfrac{mg\sin\theta}{mg\cos\theta}\\\Rightarrow \mu=\tan\theta\\\Rightarrow \mu=\tan40^{\circ}\\\Rightarrow \mu=0.84[/tex]

Koefisien gesekan statik antara balok dan bidang miring adalah 0.84.

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