Question
Asked Sep 23, 2019
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A wrench 0.6 meters long lies along the positive y-axis, and grips a bolt at the origin.
A force is applied in the direction of ⟨0,4,4⟩ at the end of the wrench.
Find the magnitude of the force in Newtons needed to supply 100 Newton-Meters of torque to the bolt.

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Expert Answer

Step 1

Refer to the question, To find the toque use the formula T= r * F,  where r is the vector drawn from the bolt to the point where F is applied.

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T F T r|F|sin e

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Step 2

As |r| is the length of the wrench, as the force is applied at the end of the wrench.

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|rЕ30 ст 30j

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Step 3

We know that the wrench lies along the positive y-axis and it is given that F lies along the v...

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let u = (0.4,4) 4j 4k и : Vo? + 4? + 4? Since Force is in the direction of F(4j4k) F(4j+4k) 32 F(4j4k 42

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