4. A construction worker takes a break for lunch, resting on a steel beam. The s

Question

4. A construction worker takes a break for lunch, resting on a steel beam.
The steel beam has a mass of 1450 kg, and the construc- tion worker shown has a mass of 80 kg. They sit 3.2 meters from the end of the beam. The cable is rated to transmit a tension of 15 kN.
Should they be worried that the cable might fail?

4. A construction worker takes a break for lunch, resting on a steel beam The steel beam has a mass of 1450 kg, and the construc- tion worker shown has a mass of 80 kg. They sit 3.2 meters from the end of the beam. The cable is rated to transmit a tension of 15 kN. Cable 6.0 m Should they be worried that the cable might fail?

Explanation / Answer

Let the tension in cable be T

Writing torque equation about leftmost support

T*sin(30)*6-1450*9.8*3-80*9.8*3.2=0

We got T=15046.2N=15.046kN ,which is greater than 15kN so Yes they have to worry.Cable might fall

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