Investigate the relationship between force of limiting friction and normal reaction to find the co-efficient of sliding friction between a wooden block and horizontal surface

 
Investigate the relationship between force of limiting friction and normal reaction to find the co-efficient of sliding friction between a wooden block and horizontal surface

Abstract

This experiment aims to determine the coefficient of sliding friction (\( \mu \)) between a wooden block and a horizontal surface by investigating the relationship between the force of limiting friction and the normal reaction. By varying the normal force and measuring the corresponding limiting frictional force, the coefficient of sliding friction can be calculated.

Introduction

The coefficient of sliding friction is a measure of the resistance to motion between two surfaces in contact when one surface slides or attempts to slide past the other. In this experiment, we investigate how the force of limiting friction depends on the normal reaction and use this relationship to determine the coefficient of sliding friction.

Procedure

  1. Place a wooden block on a horizontal surface.
  2. Attach a spring balance to the wooden block and pull horizontally until the block just begins to move.
  3. Record the force indicated on the spring balance. This is the force of limiting friction (\( F_{\text{lim}} \)).
  4. Measure the normal reaction (\( R \)) using a separate spring balance or by known weights on the block.
  5. Repeat the experiment with different normal forces by adding weights on top of the wooden block.

Observations and Calculations

Assume the following observations were made during the experiment:

  • Force of limiting friction (\( F_{\text{lim}} \)): 5 N, 7 N, 9 N
  • Corresponding normal reaction (\( R \)): 10 N, 15 N, 20 N

The coefficient of sliding friction (\( \mu \)) can be calculated using the formula:

\( \mu = \frac{F_{\text{lim}}}{R} \)

Substitute the values and calculate \( \mu \) for each trial.

Conclusion

The experiment successfully investigates the relationship between the force of limiting friction and the normal reaction. The calculated values of the coefficient of sliding friction (\( \mu \)) provide insights into the frictional properties of the wooden block and the horizontal surface.

Precautions

  • Ensure the surface and the wooden block are clean and dry.
  • Handle the spring balances carefully to avoid damage.
  • Repeat the experiment with different normal forces to verify the relationship.
  • Take measurements accurately and avoid parallax errors.

Short Questions with Answers

  1. What is the coefficient of sliding friction?
    Answer: It's a measure of the resistance to motion between two surfaces when one slides past the other.
  2. What is the force of limiting friction?
    Answer: It's the maximum force of friction that can be exerted between two surfaces before sliding begins.
  3. How does the coefficient of sliding friction vary with different surfaces?
    Answer: It depends on the nature of the surfaces in contact and their roughness.
  4. What is the relationship between the force of limiting friction and the normal reaction?
    Answer: The force of limiting friction is directly proportional to the normal reaction.
  5. What happens to the coefficient of sliding friction as the normal reaction increases?
    Answer: The coefficient of sliding friction remains constant as long as the surfaces and conditions remain the same.
  6. What factors can affect the accuracy of the experiment?
    Answer: Surface roughness, variations in normal force, and errors in measurements.
  7. How is the coefficient of sliding friction different from static friction?
    Answer: Static friction prevents the initial motion between surfaces, while sliding friction occurs once the surfaces are in motion.
  8. What would happen if the surface is inclined instead of horizontal?
    Answer: The normal reaction would change, affecting the measurements and the calculated coefficient of sliding friction.
  9. How does the mass of the wooden block affect the experiment?
    Answer: The mass affects the normal reaction, which in turn influences the force of limiting friction and the calculated coefficient of sliding friction.
  10. What is the significance of repeating the experiment with different normal forces?
    Answer: It helps verify the relationship between the force of limiting friction and the normal reaction, ensuring the accuracy of the results.
  11. How does the coefficient of sliding friction change with temperature?
    Answer: In general, the coefficient of sliding friction decreases with increasing temperature due to decreased intermolecular forces.
  12. What happens if the surfaces are lubricated?
    Answer: Lubrication reduces friction between surfaces, resulting in a lower coefficient of sliding friction.
  13. What is the difference between kinetic friction and static friction?
    Answer: Kinetic friction acts between surfaces in motion, while static friction prevents motion between stationary surfaces.
  14. How does the surface area in contact affect the coefficient of sliding friction?
    Answer: Generally, a larger surface area increases the coefficient of sliding friction due to increased intermolecular forces.
  15. What is the role of surface roughness in friction?
    Answer: Rougher surfaces tend to have higher coefficients of sliding friction due to increased contact points and interlocking between surfaces.
  16. How does the velocity of the sliding object affect friction?
    Answer: In general, frictional force remains relatively constant regardless of velocity, except in cases of extreme velocity or temperature.
  17. What would happen if the experiment is conducted in a vacuum?
    Answer: In a vacuum, there would be no air resistance, resulting in more accurate measurements of frictional forces.
  18. How does humidity affect friction?
    Answer: Higher humidity can increase friction by causing surfaces to stick together, while very low humidity may decrease friction due to dryness.
  19. Why is it important to ensure the surfaces are clean?
    Answer: Contaminants on surfaces can affect friction by altering surface roughness or introducing additional materials that may affect intermolecular forces.
  20. What is the role of normal force in friction?
    Answer: Normal force determines the magnitude of frictional force, as friction is directly proportional to the normal force.

Multiple-Choice Questions (MCQs)

  1. What does the coefficient of sliding friction represent?
    A) The force required to initiate motion between surfaces
    B) The maximum force of friction between surfaces
    C) The ratio of limiting friction to normal reaction
    D) The force required to stop a sliding object
    Correct Answer: C) The ratio of limiting friction to normal reaction
  2. What is the relationship between the force of limiting friction and the normal reaction?
    A) Directly proportional
    B) Inversely proportional
    C) No relationship
    D) Exponential relationship
    Correct Answer: A) Directly proportional
  3. What happens to the coefficient of sliding friction if the normal reaction decreases?
    A) It increases
    B) It decreases
    C) It remains constant
    D) It becomes zero
    Correct Answer: C) It remains constant
  4. What precautions should be taken to ensure accuracy in the experiment?
    A) Using dirty surfaces
    B) Handling the spring balances carelessly
    C) Taking measurements inaccurately
    D) Repeating the experiment with different normal forces
    Correct Answer: D) Repeating the experiment with different normal forces
  5. Why is it important to keep the surface and block dry?
    A) To increase friction
    B) To decrease friction
    C) To avoid damage to the surfaces
    D) To ensure accuracy in the experiment
    Correct Answer: D) To ensure accuracy in the experiment

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