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What is the angle of inclination at which the force of static friction equals th

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Question: What is the angle of inclination at which the force of static friction equals the component of weight acting down the slope for a coefficient of static friction of 0.4?

Options:

  1. 21.8 degrees
  2. 22.5 degrees
  3. 23.5 degrees
  4. 24.0 degrees

Correct Answer: 21.8 degrees

Solution:

The angle θ can be found using tan(θ) = μs. Thus, θ = arctan(0.4) ≈ 21.8 degrees.

What is the angle of inclination at which the force of static friction equals th

Practice Questions

Q1
What is the angle of inclination at which the force of static friction equals the component of weight acting down the slope for a coefficient of static friction of 0.4?
  1. 21.8 degrees
  2. 22.5 degrees
  3. 23.5 degrees
  4. 24.0 degrees

Questions & Step-by-Step Solutions

What is the angle of inclination at which the force of static friction equals the component of weight acting down the slope for a coefficient of static friction of 0.4?
  • Static Friction – The force that resists the initiation of sliding motion between two surfaces in contact.
  • Angle of Inclination – The angle at which an object begins to slide down a slope due to gravity.
  • Coefficient of Static Friction – A dimensionless value that represents the frictional force between two surfaces at rest relative to each other.
  • Trigonometric Functions – Mathematical functions related to the angles of triangles, used here to relate the angle of inclination to the coefficient of static friction.
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