Evaluate the tension in the rope, Mechanical Engineering

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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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