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Evaluate the tension in the rope:
Determine the tension in the rope.
Solution
KE of the free-body of flywheel is developed due to (i) work-done by tension T in the rope, less (ii) work lost in overcoming friction.
α = 16 rad / sec2
T × s - CF θ = I (m) ω2/2
where, ω2 = 2 α θ
s = r θ
∴ (T × r - CF) θ = I (m) α θ
T × 0.2 - 2 = 15 × (0.2)2 /2× 16= 4.8
T = 34 N
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