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The $280-1b$ uniform tank is suspended by means of a $5-$ft$-$tong cable, which is attached to the sides of the tank and passes over the small pulley located at $O,$ as shown in $($Figure $1).$

Figure

If the cable can be attached at either points A and $B,$ or $C$ and $D,$ determine which aftachment produces the least amount of tension in the cable

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The attachment of the cable to point $C$ and $D$ will produce the least amount of tension in the cable.

The attachment of the cable to point A and $B$ will produce the least amount of tension in the cable

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Applying the equations of equilibrium, one gets that tension $T$ is irversely proportional to the sine of $,$ an angle the cable makes with the horizontal. That is$,$ greater the angle $,$ smaller the tension $T.$ Since the attachment of the cable to point $C$ and $D$ produces a greater $,$ it will produce the least amount of tension in the cable

Part B

What is this tension?

Express your answer to three significant figures and include the appropriate units.

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