Answer :
The work done by friction W = (F1 - mg sin θ) L, W = -μ mg cos θ L.
Use Newton's Second Law to find the force of friction. In these tasks, the X-axis will be parallel to the plane and the Y-axis will be perpendicular to the plane:
Y-Axis
N - =[tex]w_{y}[/tex]
N = W_{y}
X axis
F1 - fr - Wₓ = 0
fr = F1 - Wₓ
Let's use trigonometry to find the components of the weight
sin θ = Wₓ / W
cos θ = W_{y} / W
Wₓ = W sin θ
W_{y} = W cos θ
We substitute
fr = F1 - W sin θ
Work is defined by
W = F .dx
W = F dx cos θ
Since the friction force is in the negative direction parallel to the plane and the displacement along the plane is positive, the angle is 180° and cos θ = -1
W = -fr x
W = (F1 - mg sin θ) L
Another way to calculate is
fr = μ N
fr = μ W cos θ
the work is
W = -μ mg cos θ L.
Zero work can occur in any of the following situations When a single force is applied but no displacement. There are gaps but the power of the individual is not showing. A single force is applied in a direction perpendicular to the direction of displacement.
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