MMET 275 Mechanics for Technologists Spring 2023 Homework Set 5 Due Monday Mar 10 Problem 5 1 10 Points Given Beam AB is loaded with a force F at C and a couple M at D The beam is supported with a pin join at A and a smooth roller connection at B Find Determine the reactions on the beam at A and B Leave your answers in terms of F M and d Solution Geometry Write NB in terms of its Cartesian Components Equilibrium 0 6 0 6 0 8 4 0 4 3 0 3 5 16 1 4 0 6 0 3 16 MMET 275 Mechanics for Technologists Spring 2023 Homework Set 5 Due Monday Mar 10 Problem 5 2 10 Points As an airplane s brakes are applied the nose wheel exerts two forces on the end of the landing gear as shown Determine the horizontal and vertical components of reaction at the pin C and the force in struct AB Solution MMET 275 Mechanics for Technologists Spring 2023 Homework Set 5 Due Monday Mar 10 Equations of Equilibrium The force in strut AB can be obtained directly by summing moments about point C 0 2 1 6 20 50 0 4 50 0 4 20 0 Using the resultant FAB 0 8637 kN and sum of forces along x and y axes we have 0 8637 0 864 0 0 8637 50 2 0 0 6 0 8637 50 0 2 66 6 56 MMET 275 Mechanics for Technologists Spring 2023 Homework Set 5 Due Monday Mar 10 Problem 5 3 10 Points Given A horizontal boom is supported by cables AB and CD and by a ball and socket join at O A load P acts at C Consider the weight of the boom to be negligible compared to the load P Find Determine the tensions in cables AB and CD Leave your answers in terms of P Solution MMET 275 Mechanics for Technologists Spring 2023 Homework Set 5 Due Monday Mar 10 Cable Tension Forces 2 2 2 2 2 2 2 2 6 2 Equilibrium Equations 2 0 2 2 2 2 6 4 6 2 2 6 2 6 2 2 6 2 6 2 0 2 6 6 2 2 6 2 0 2 2 2 6 6 2 MMET 275 Mechanics for Technologists Spring 2023 Homework Set 5 Due Monday Mar 10 Problem 5 4 10 Points Member AB is supported by cable BC and at A by a square rod which fits loosely through the square hold at the end of the member as shown Determine the components of reaction at A and the tension in the cable needed to hold the cylinder of wight W in equilibrium Given W 800 N a 0 2 m b 0 6 m c 0 3 m Solution 0 0 0 2 2 2 0 0 0 0 800 0 0 480 MMET 275 Mechanics for Technologists Spring 2023 Homework Set 5 Due Monday Mar 10 0 0 0 0