Grade 12Mechanics

the upper half of an inclined plane with inclination fi is perfectly smooth ,while the lower half is rough .a body starting from rest at the top will again come to rest at the bottom if coefficient of friction for the lower half is

nivi jain

14 Years agoGrade 12

2 Answers

hunaid

8 Years ago

suppose length of plane is L.
when block descends the plane, rise in kinetic energy = fall in potential energy = mgLsinθ ---eq (1)

work done by friction is : μ*(reaction)*distance
0 + μ(mgcosθ )*(L/2)
= μ(mgcosθ )*(L/2)
[work done against friction for the upper half of plane is zero]
Now work done = change in KE
mgLsinθ = μ(mgcosθ )*(L/2)
tanθ = μ/2
μ = 2tanθ

Kushagra Madhukar

5 Years ago

Dear student,

Please find the answer to your question.

Suppose length of plane is L.

when block descends the plane, rise in kinetic energy = fall in potential energy = mgLsinθ ---eq (1)

work done by friction = μ(mgcosθ )*(L/2)
Now work done = change in KE
mgLsinθ = μ(mgcosθ )*(L/2)
tanθ = μ/2
μ = 2tanθ

Thanks and regards,

Kushagra

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the upper half of an inclined plane with inclination fi is perfectly smooth ,while the lower half is rough .a body starting from rest at the top will again come to rest at the bottom if coefficient of friction for the lower half is

nivi jain

2 Answers

hunaid

Kushagra Madhukar

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