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IB
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Statics and Equilibrium
Hi. I read and re-read these problems but I don't get them. Could you please show me how to do them?
STATICS
A 700.0N window washer is standing on a uniform scaffold supported by a vertical rope at each end. The scaffold weighs 200.0N and is 3.00m long. What is the force in each rope when t he window washer stands 1.00 m from one end?
[This is a torque/rotational equilibrium problem]
A Street lamp weighs 150N. It is supported by two wires that form an angle of 120 degrees with each other. The tensions in the wires are equal.
- What is the tension in each wire?
- What is the minimum tension that each wire has to exert to support the lamp? Assume the wires exert equal forces.
I tried to do the second one. Here is my solution, but I don't know if it's right or not:
a) 120 divided by 2 we have 60 degrees. Calculate the complementary angle we have 90 - 60 = 30 degrees.
sin(30)*150 = 75.0 N
Answer: Tension in each wire is equal to 75.0 N.
b) Hmm, this one I'm not so sure, but perhaps it's also 75.0 N. It makes sense if each wire supports half of the weight of the lamp.
Thanks in advance for the help!
Hi. I read and re-read these problems but I don't get them. Could you please show me how to do them?
STATICS
A 700.0N window washer is standing on a uniform scaffold supported by a vertical rope at each end. The scaffold weighs 200.0N and is 3.00m long. What is the force in each rope when t he window washer stands 1.00 m from one end?
[This is a torque/rotational equilibrium problem]
A Street lamp weighs 150N. It is supported by two wires that form an angle of 120 degrees with each other. The tensions in the wires are equal.
- What is the tension in each wire?
- What is the minimum tension that each wire has to exert to support the lamp? Assume the wires exert equal forces.
I tried to do the second one. Here is my solution, but I don't know if it's right or not:
a) 120 divided by 2 we have 60 degrees. Calculate the complementary angle we have 90 - 60 = 30 degrees.
sin(30)*150 = 75.0 N
Answer: Tension in each wire is equal to 75.0 N.
b) Hmm, this one I'm not so sure, but perhaps it's also 75.0 N. It makes sense if each wire supports half of the weight of the lamp.
Thanks in advance for the help!
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