This thing was a part of an entire question . I solved the other parts but I don't know why I am messing up here .
Force required to keep a wooden block from sliding on a rough incline with coefficient of friction μ
Force on a block on an inclined plane ,
towards the ground : m*g*sin(θ)
due to friction in opposite direction of the above force is m*g*cos(θ)
where m is the mass of the block , g is the gravitational acceleration and θ is the angle the incline makes with the horizontal.
The Attempt at a Solution
So I pictured something like this
Now if I apply a force to stop the block from sliding the FBD should be something like this
So the force I have to apply ( the blue one ) should be Force due to gravity - Force due to friction
F = mg(sin(θ) -μcos(θ))
But the answer given is
F = μ*m*g*cos(θ)
How is this possible
Sorry about the drawings
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