Find the reaction force of wedge over the pulley has a magnitude of
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Answer:
Taking a small segment of the rope with an angle dθ in the circle of radius r. Angle between plane of rope and line joining center of sphere to edge of rope is 60
0
.
Nsin(60
0
)=
2π
mgdθ
Ncos(60
0
)=2Tsin(
2
dθ
)≈Tdθ
Dividing the two equations,
T=
2π
3
mg
=
π
12
W
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