RESOLVING PARALLEL AND PERPENDICULAR TO AN INCLINED PLANE INCLUDING
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Resolving parallel and perpendicular to an inclined plane
Resolving parallel and perpendicular to an inclined plane including friction.
A
block mass m kg on a rough inclined plane at angle θ to
the horizontal. R
is the normal reaction. P
is a pull force acting at an angle α to the plane. If
the block is moving or tending to move up the plane the frictional
force Fr
will act down the plane.
P
R
Psinα
P
mg θ θ α If
the block is in equilibrium (stationary or moving with const
velocity): Parallel
to slope : P cosα = Fr + mgsinθ Perpendicular
to slope : R = mgsinθ If
the block is accelerating up the slope with acceleration a
then there will be a resultant force parallel to the slope but
perpendicular to the slope the forces will still balance. Parallel
to slope “F = ma” : The resultant force F is P cosα
– mgsinθ -
Fr so
P cosα – mgsinθ -
Fr = ma Perpendicular
to slope : R = mgsinθ mg θ mgcosθ mgsinθ α Pcosα
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RESOLVING PARALLEL AND PERPENDICULAR TO AN INCLINED PLANE INCLUDING
Tags: inclined plane, rough inclined, perpendicular, including, plane, resolving, inclined, parallel
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