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In limiting friction, the resultant reaction R, the normal reaction N, and angle of friction θ, are related as
- a)N = R cosθ
- b)N = R sinθ
- c)R = N cos θ
- d)R = N sinθ
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
In limiting friction, the resultant reaction R, the normal reaction N...
F is the frictional force developed, and N is the normal reaction.
The direction of resultant R measured from the direction of N is specified by tan θ = F/N
μ = tanθ = F/N
Here F = R sin θ
N = R cos θ
Where θ is angle of friction.
Most Upvoted Answer
In limiting friction, the resultant reaction R, the normal reaction N...
Explanation:
Therefore, the correct answer is option A, N = R cosθ, which represents the relationship between the resultant reaction (R), the normal reaction (N), and the angle of friction (θ) in limiting friction.
- Introduction: The question asks about the relationship between the resultant reaction (R), the normal reaction (N), and the angle of friction (θ) in limiting friction.
- Definition of Normal Reaction: The normal reaction (N) is the force exerted by a surface perpendicular to the contact surface. It acts perpendicular to the surface and counteracts the force of gravity.
- Definition of Resultant Reaction: The resultant reaction (R) is the force that arises due to the combined effects of the normal reaction (N) and the frictional force. It acts parallel to the surface and opposes the applied force.
- Definition of Angle of Friction: The angle of friction (θ) is the angle between the resultant reaction (R) and the normal reaction (N).
- Relationship between R, N, and θ: In limiting friction, the resultant reaction (R) and the normal reaction (N) are related by the equation N = R cosθ. This means that the normal reaction is equal to the resultant reaction multiplied by the cosine of the angle of friction.
- Explanation of Option A: Option A states that N = R cosθ, which matches the relationship described above. Therefore, option A is the correct answer.
- Explanation of Option B: Option B states that N = R sinθ, which is incorrect. The correct relationship is N = R cosθ, not sinθ.
- Explanation of Option C: Option C states that R = N cosθ, which is incorrect. The correct relationship is N = R cosθ.
- Explanation of Option D: Option D states that R = N sinθ, which is incorrect. The correct relationship is N = R cosθ, not sinθ.
Therefore, the correct answer is option A, N = R cosθ, which represents the relationship between the resultant reaction (R), the normal reaction (N), and the angle of friction (θ) in limiting friction.
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In limiting friction, the resultant reaction R, the normal reaction N, and angle of friction θ, are related asa)N = R cosθb)N = R sinθc)R = N cos θd)R = N sinθCorrect answer is option 'A'. Can you explain this answer?
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