SOLUTION: 12. A particle of mass 2kg slides down a rough plane inclined at 20 degrees to the horizontal. Given that the acceleration of the particle is 1.5ms-2, find the coefficient of frict

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Question 122291This question is from textbook Mechanics I
: 12. A particle of mass 2kg slides down a rough plane inclined at 20 degrees to the horizontal. Given that the acceleration of the particle is 1.5ms-2, find the coefficient of friction between the particle and the plane.
Thanks for any help, its so hard :D This question is from textbook Mechanics I

Answer by Fombitz(32388)   (Show Source): You can put this solution on YOUR website!
If you set up a free body diagram and look at the forces acting on the particle.
Let x be the axis parallel to the plane.
Let y be the axis perpendicular to the plane.
The forces in the x direction are dynamic friction resisting motion and the gravity component assisting motion.
The forces in the y direction are the gravity component in that direction and the normal force of the table pushing up on the particle.
The dynamic friction is a function of the gravity component in the y direction.
Force balance in x direction : 1.
Force balance in y direction : 2.
where



= Mass
= Gravitational constant
= Coefficient of friction
= Angle of incline
1.
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