Math Problem Statement

Lab07_Manual(1) (1).pdf

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Equation 1: ๐‘“๐‘˜ = ๐œ‡๐‘˜, Consider an object on an inclined plane with angle ๐œ™, as in the right figure. If it is driven by gravity and is sliding down at a constant speed, please show that the coefficient of kinetic friction ๐œ‡๐‘˜ = tan๐œ™. (Hint: use the relation in Eq. (1).)

Solution

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Math Problem Analysis

Mathematical Concepts

Kinetic Friction
Trigonometry
Forces on Inclined Plane

Formulas

f_k = ฮผ_k N
f_k = M g cos๐œ™
ฮผ_k = tan๐œ™

Theorems

Newton's Second Law
Trigonometric Identity: tan๐œ™ = sin๐œ™ / cos๐œ™

Suitable Grade Level

College-level Physics (Introductory Mechanics)