Inclined plane, static and sliding friction, how to determine?

Shouldn't 25° be used here for mH (coefficient of static friction) instead of mG (coefficient of sliding friction), since from 35° the coin starts to slide and at 25° the coin sticks?

(1 votes)
Loading...

Similar Posts

Subscribe
Notify of
2 Answers
Oldest
Newest Most Voted
Inline Feedbacks
View all comments
vincentjo775
1 year ago

Yeah, that’s right. In this case, the coin is not yet in motion at an angle of 25°, so only the static friction acts. The sliding friction occurs only when the coin begins to slide, i.e. at an angle of 35°.

The static friction force is therefore equal to the slope output force, multiplied by the static friction coefficient:

F_H = mg sin α = μ_H mg cos α

μ_H = tan α = tan 25° = 0.466

The sliding friction force, on the other hand, is equal to the slope output force, multiplied by the sliding friction coefficient:

F_G = mg sin α = μ_G mg cos α

μ_G = tan 35° = 0,70

The value of μ_H is therefore correct in the illustration.