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Question #97347
a block a mass 50kg slides down a plane inclined at an angle 30 to the horizontal. if the coefficient of friction is 0.4 calculate the frictional force btwn the two surfaces (g=10m/s)
Expert's answer
The friction force by definition
F
=
μ
N
F=\mu N
F
=
μ
N
The normal reaction force is given by
N
=
m
g
cos
θ
N=mg\cos\theta
N
=
m
g
cos
θ
So
F
=
μ
m
g
cos
θ
F=\mu mg\cos\theta
F
=
μ
m
g
cos
θ
=
0.4
×
50
k
g
×
10
m
/
s
2
×
cos
3
0
∘
=
173.2
N
=0.4\times 50\:\rm kg\times 10\: m/s^2\times \cos 30^{\circ}=173.2\:\rm N
=
0.4
×
50
kg
×
10
m/
s
2
×
cos
3
0
∘
=
173.2
N
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