Learning Path
Question & Answer1
Understand Question2
Review Options3
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Explore TopicChoose the Best Answer
A
The maximum static friction will increase due to both the high surface roughness and the angle of incline.
B
The maximum static friction will decrease because the angle of incline reduces the normal force.
C
The maximum static friction remains unchanged regardless of the angle of incline.
D
The maximum static friction will only depend on the angle of incline, not the surface roughness.
Understanding the Answer
Let's break down why this is correct
Answer
The maximum static friction that can act on the block is the product of the coefficient of static friction between the two rough surfaces and the normal force, which is mg cos 30°. Because the block’s surface is much rougher than the plane’s opposing side, the coefficient of static friction μ_s is larger than it would be for a smoother pair of surfaces. Therefore, the block can withstand a larger horizontal component of force before sliding, even though the 30° incline reduces the normal force. For example, if μ_s increases from 0. 3 to 0.
Detailed Explanation
The block sits on a rough surface, so the static friction coefficient (µs) is high. Other options are incorrect because It assumes the angle alone lowers friction; This says the angle has no effect.
Key Concepts
Surface Roughness
Normal Force
Angle of Incline
Topic
Friction Coefficient Calculations
Difficulty
hard level question
Cognitive Level
understand
Practice Similar Questions
Test your understanding with related questions
1
Question 1How does increasing the angle of an incline affect the frictional force acting on an object resting on it?
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2
Question 2If a block weighing 20 kg is placed on a 45-degree incline, and the coefficient of static friction between the block and the incline is 0.6, what is the maximum angle at which the block can remain at rest without sliding down?
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3
Question 3When a smooth metal block is placed on a rough surface, how does the surface roughness affect the normal force required to maintain static equilibrium before the block begins to slide?
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4
Question 4A 5 kg block is placed on a ramp inclined at an angle of 30 degrees. What is the maximum static frictional force that can act on the block if the coefficient of static friction between the block and the ramp is 0.4?
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