# tutorial_3 - Mechanics tutorial_3 1 A rigid body is mounted...

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Mechanics tutorial_3.doc 1 1. A rigid body is mounted in frictionless bearings B 1 and B 2 and only the latter can take any end thrust, i.e. a thrust in the direction of the axis of the bearings. The system is in equilibrium under the twisting moment in the spring S, the forces in the bearings, the couple Q and the force P. The bearings and the torsion spring have a common axis A 1 A 2 , the location of A 1 and A 2 being (0,7,0)cm and (0,0,3)cm respectively. The couple Q that has a magnitude of 5.0Nm is applied about an axis parallel to the y-axis. The force P=(-20i-30i+40k)N and its point of application D on the body is (1,4,2)cm. Neglecting friction in bearings and gravity, determine the magnitudes of (a) the end thrust in bearing B 2 , and (b) the twisting moment in spring S. O x y z P Q B B A A S 1 1 2 2 D ans: (a) 43.33N (b) 4.21Nm

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Mechanics tutorial_3.doc 2 2. A light crank rod ABCD consists of three straight sections AB, BC and CD and is fixed at A. A, B, C and D are located at points (0,0,0)m, (1,0,0)m, (1,-1,0)m and (-1.5,-1.5,-1)m respectively. Forces F B =(-200k)N, F C =(200k)N and F D =(100i+100j)N are applied at point B,C and D respectively. Determine (a) the shearing force in section CD of the rod, and (b) the twisting moment at A. ans:
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tutorial_3 - Mechanics tutorial_3 1 A rigid body is mounted...

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