To calculate the moment a force about a axis the moment of a force is computed a

Question

To calculate the moment a force about a axis the moment of a force is computed about a point, and its axis are always perpendicular to the that contains the force and the moment arm In it is important to find the component of along a specified axis passes though .to scalar analysis Ma, the of the of a force about a specified axis can the found the tripe scalar product Unscrewing a bolt required a moment of 42.0 lb ft. The z axis passes though the center of the bolt A force lb is applied to the end of the wrench Figure 1 What minimum length. d. must the have to the bolt?

Explanation / Answer

F = (-41.0 i + 9.0 j + 8.0 k) lb

Z - axis passes through the center of the bolt hence any force along the z-axis will have no effect to unscrew the bolt.

Forces along x and y axis are effective

Magnitude of the resultant force in x-y plane Fxy = SQRT((-41)2 + (9)2 ) = 41.97 lb

Let d be length of the wrench used then

Momentum M = 41.97 x d lb-ft

Required momentum is 42 lb-ft

Hence d = 42/41.97 = 1.007 ft

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