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Derive a formula for the acceleration of a body moving down a rough inclined plane?

Derive a formula for the acceleration of a body moving down a rough inclined plane?

Grade:10

1 Answers

Aarti Gupta
askIITians Faculty 300 Points
9 years ago
Let us suppose a body which is sliding down the plane shown below.Now all force components should be taken along and perpendicular to the surface of the block.
Now,
1).Balancing components along the perpendicular of the inclined plane-
W cos theta = R
2).Balancing components along the surface of the inclined plane-
W sin theta – f = ma [ where, a is the acceleration of the block along the inclined surface]
mg sin theta – \muR = ma
mg sin theta – \mumg cos theta = ma
Therefore, a = g(sin theta – \mucos theta)
The above equation gives the acceleration of a body sliding down a rough inclined plane.213-951_Aarti.JPG

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