M1 help (incline slope question)
A particle of mass 0.4 kg is held at rest on a fixed rough plane by a horizontal force of magnitude P newtons. The force acts in the vertical plane containing the line of greatest slope of the inclined plane which passes through the particle. The plane is inclined to the horizontal at an angle α, where tan α = 3/4.
The coefficient of friction between the particle and the plane is 1/3.
Given that the particle is on the point of sliding up the plane, find
(a) the magnitude of the normal reaction between the particle and the plane,
(b) the value of P.
i need step by step approach
im so confused
The coefficient of friction between the particle and the plane is 1/3.
Given that the particle is on the point of sliding up the plane, find
(a) the magnitude of the normal reaction between the particle and the plane,
(b) the value of P.
i need step by step approach
im so confused
Original post by liquidant
i need step by step approach
i need step by step approach
Step 1 = draw a diagram
Step 2 = resolve the forces parallel and perpendicular to the slope
Step 3 = solve the simultaneous equations forR and P
Original post by Iowan
....
Please do not give full solutions - the forum guidelines are very clear on this point
http://www.thestudentroom.co.uk/showthread.php?t=403989
Original post by liquidant
A particle of mass 0.4 kg is held at rest on a fixed rough plane by a horizontal force of magnitude P newtons. The force acts in the vertical plane containing the line of greatest slope of the inclined plane which passes through the particle. The plane is inclined to the horizontal at an angle α, where tan α = 3/4.
The coefficient of friction between the particle and the plane is 1/3.
Given that the particle is on the point of sliding up the plane, find
(a) the magnitude of the normal reaction between the particle and the plane,
(b) the value of P.
i need step by step approach im so confused
The coefficient of friction between the particle and the plane is 1/3.
Given that the particle is on the point of sliding up the plane, find
(a) the magnitude of the normal reaction between the particle and the plane,
(b) the value of P.
i need step by step approach
im so confusedBasically you need to work out the different sides of the triangle so:
tan = o/a
sin = o/h
cos = a/h
you can use the idea of the tan a =3/4 to work out the last side. This is easily done because it is a Pythagorean triplet.
You then need to resolve the forces using F - mew (resultant force) = ma.
Hope this could be of help.
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