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

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Unformatted text preview: Problem Set 2 Problem 2.1 Extremizing a Moment Due to a Force Determine the direction 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 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 = 30 . Figure P2.2: Problem 2.2 Problem 2.3 Figure P2.3: Problem 2.3 Problem 2.4 Figure P2.4: Problem 2.4 Problem 2.5 Figure P2.5: Problem 2.5 Problem 2.6 a) Determine the resultant of the forces F 1 = F 1 x + F 1 y + F 1 z k , F 2 = F 2 x + F 2 y + F 2 z k , and F 3 = F 3 x + 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). The units for the forces are in Newtons and for the coordinates are given in meters. Solution % input data F1x = 2; F1y = 3.5; F1z = -3; % N F2x = -1.5; F2y = 4.5; F2z = -3; % N F3x = 7; F3y = -6; F3z = 5; % N xP = 1; yP = 2; zP = 3; % m % a) % vector forces F1, F2, F3...
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p2_sol - Problem Set 2 Problem 2.1 Extremizing a Moment Due...

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