# 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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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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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.

Step 2

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

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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