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Suppose you have just barely loosened a rusty bolt. Your mass is 80 kg and you h

ID: 1471847 • Letter: S

Question

Suppose you have just barely loosened a rusty bolt. Your mass is 80 kg and you have a wrench of length L = 41 cm placed as shown in the diagram below, and hung off the end so all your weight was applied, in the downward direction, to the end of the wrench. What is the magnitude and direction of the torque? Now suppose you had a bolt that needed to be tightened to 250 N m. You place the wrench as shown in the diagram below, and hung off the end so all your weight was applied, in the downward direction, to the end of the wrench. What length wrench would you need to tighten the bolt completely? Suppose you had the same wrench as in part (a), but you placed the wrench at an angle theta = 70 degree with the vertical, as shown below. How much torque Is applied to the bolt?

Explanation / Answer

In this given are

M=80kg

L=41cm=0.41m

T=?

F=mg

Mass*gravity

=80*9.8

=784N

Torque=F*L

=784*0.41

=321.4Nm and direction is down and is at 0 degrees

b)torque=Force*lemgth

250=784*length

Length=0.318m

c) horizontal component torque is 250sin70=234.9 Nm

vertical component torque is 321.4cos 70=109.9 Nm

t=undrt(234.9^2+109.9^2)

torque=259.3Nm

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