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p2_sol - Problem Set 2 Problem 2.1 Extremizing a Moment Due...

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Problem Set 2 Problem 2.1 Extremizing a Moment Due to a Force Determine the direction θ of the force F = 40 lb. so that it produces a) the maximum moment about point A , and b) the minimum moment about point A . Figure P2.1: Problem 2.1
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Problem 2.2 Moment of a Force-Vector Formulation Determine the magnitude of the force F that should be applied at the end of the lever such that this force creates a clockwise moment about point O of 15 N m when θ = 30 . Figure P2.2: Problem 2.2
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Problem 2.3 Figure P2.3: Problem 2.3
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Problem 2.4 Figure P2.4: Problem 2.4
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Problem 2.5 Figure P2.5: Problem 2.5
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Problem 2.6 a) Determine the resultant of the forces F 1 = F 1 x ı + F 1 y + F 1 z k , F 2 = F 2 x ı + F 2 y + F 2 z k , and F 3 = F 3 x ı + F 3 y + F 3 z k , which are con- current at the point P ( x P , y P , z P ), where F 1 x = 2, F 1 y = 3 . 5, F 1 z = - 3, F 2 x = - 1 . 5, F 2 y = 4 . 5, F 2 z = - 3, F 3 x = 7, F 3 y = - 6, F 3 z = 5, x P = 1, y P = 2, and z P = 3. b) Find the total moment of the given forces about the origin O (0 , 0 , 0). The units for the forces are in Newtons and for the coordinates are given in meters.
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