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A block slides down an incline of angle 30 degree with an acceleration g/4.find the kinetic friction coefficient.?
Most Upvoted Answer
A block slides down an incline of angle 30 degree with an acceleration...
Given:

Angle of incline (θ) = 30°

Acceleration of block down the incline (a) = g/4


To find:

Kinetic friction coefficient (μ)


Explanation:

The force acting on the block down the incline is given by:

F = mg sin θ


The acceleration of the block down the incline is given by:

a = g sin θ - μ g cos θ


Given that a = g/4, we can write:

g/4 = g sin θ - μ g cos θ


Simplifying the above equation, we get:

μ = (4 sin θ - 1)/4 cos θ


Substituting the value of θ = 30°, we get:

μ = (4 sin 30° - 1)/4 cos 30° = 0.19


Therefore, the kinetic friction coefficient is 0.19.


Answer:

Kinetic friction coefficient (μ) = 0.19
Community Answer
A block slides down an incline of angle 30 degree with an acceleration...
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A block slides down an incline of angle 30 degree with an acceleration g/4.find the kinetic friction coefficient.?
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