Difficulty: Easy
Correct Answer: Agree
Explanation:
Introduction / Context:
The angle of friction is a key geometric way to visualize the frictional interaction between two surfaces. It links the friction coefficient to the orientation of the resultant reaction force.
Given Data / Assumptions:
Concept / Approach:
At limiting equilibrium, the resultant reaction R is the vector sum of N and F_max. The angle φ between R and N satisfies tan(φ) = F_max / N = μ. Thus, φ is literally the angle that the normal makes with the resultant reaction, consistent with the statement.
Step-by-Step Solution:
Verification / Alternative check:
If μ = 0 (perfectly smooth), φ = 0 and R aligns with N—consistent. Larger μ leads to larger φ, again matching intuition.
Why Other Options Are Wrong:
Common Pitfalls:
Confusing angle of friction φ with angle of repose (inclination of an incline at impending slip). They are equal in magnitude but represent different geometric contexts.
Final Answer:
Agree
Discussion & Comments