If the angle of inclination of a plane increases, what happens to the static fri

Practice Questions

Q1
If the angle of inclination of a plane increases, what happens to the static frictional force acting on an object resting on the plane?
  1. Increases
  2. Decreases
  3. Remains constant
  4. Becomes zero

Questions & Step-by-Step Solutions

If the angle of inclination of a plane increases, what happens to the static frictional force acting on an object resting on the plane?
  • Step 1: Understand that static friction is the force that keeps an object at rest on a surface.
  • Step 2: Recognize that when a plane is inclined, gravity pulls the object down the slope.
  • Step 3: Identify that the force of gravity can be split into two components: one parallel to the plane and one perpendicular to the plane.
  • Step 4: As the angle of the incline increases, the parallel component of the gravitational force (the force trying to pull the object down the slope) becomes larger.
  • Step 5: Realize that static friction must counteract this parallel force to keep the object at rest.
  • Step 6: Note that static friction has a maximum value, which depends on the normal force (the perpendicular component of gravity).
  • Step 7: As the angle increases, the normal force decreases, which can reduce the maximum static friction available.
  • Step 8: Conclude that as the angle increases, static friction may decrease until it reaches its maximum value, which is determined by the normal force.
  • Static Friction – Static friction is the force that keeps an object at rest on a surface and prevents it from sliding down an incline.
  • Inclined Plane Dynamics – The behavior of forces acting on an object on an inclined plane, including gravitational force components and friction.
  • Maximum Static Friction – The maximum value of static friction that can act on an object before it begins to slide, which depends on the normal force and the coefficient of static friction.
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