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  A load of 20 kg is supported as shown in the figure. Assuming the pulley to be ideal and the equilibrium configuration as shown in the figure, determine the tension in cable CD

  A load of 20 kg is supported as shown in the figure. Assuming the pulley to be ideal and the equilibrium configuration as shown in the figure, determine the tension in cable CD Correct Answer 150.2 N

Concept:

Equilibrium equations, ∑ FX = 0, ∑ FY = 0

Calculation:

Given:

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∑FX = 0

T cos θ = 196.2 × cos 45° = 138.73 N  -----(1)

∑FY = 0

Tsin θ = 196.2 - (196.2 × sin 45°)

Tsin θ = 57.46 N  -------(2)

Squaring and adding both equation we get,

T2 = 138.732 + 57.462

T = 150.2 N  

The tension in cable CD is 150.2 N.

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S1: Instantly the full load yanked Gordy towards the side of the bridge.
P: But the pull of the cable was too much.
Q: He could hardly feel the cable, slipping through his fingers, ripping off his gloves, and streaking over the railing like an escaping snake.
R: It smashed his hands hard against the top of the railing, causing a split - second feeling of fierce pain followed by numbness.
S: He held on to the cable; it had been hard work lifting it, and he did not want to have to start over again.
S6: Feeling a sharp burning sensation where the cable was speeding between his things, Gordy rose on tiptoe and as he did, the slithering coil of cable tightened around his left foot and yanked him over the railing.

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