Unscrewing a bolt requires a moment of 48.0 Ib-ft. The z axis passes through the

Question

Unscrewing a bolt requires a moment of 48.0 Ib-ft. The z axis passes through the center of the bolt. A force F-(-43.0i + 5.00j +8.00k] Ib is applied to the end of the wrench. (Figure 1) What minimum length, d, must the wrench have to turn the bolt? Learning Goal: To be able to calculate the moment of a force about a specified axis. When the moment of a force is computed about a point, the moment and its axis are always perpendicular to the plane that contains the force and the moment arm. In some instances it is important to find the component of this moment along a specified axis that passes through the point. In addition to scalar analysis, Ma. the magnitude of the moment of a force about a specified axis, can be found using the triple scalar product Express your answer numerically in inches to three significant figures. - Hints Figure 1 of 1 2 in Submit My Answers Give Up Part B This question will be shown after you complete previous question(s)

Explanation / Answer

The distance d should be such that the moment of the force about z axis =48 lb-ft

Given force is F=-43i+5j+8k

the vector Or = d j

Moment about O = d j x (-43i+5j+8k) = 8d i+43d k

Moment about z axis should be 48.

Therefore, 43d = 48

d = 48/43=1.17 lb-ft

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