The figure shows a model of a crane that may be mounted on a truck.A rigid uniform horizontal bar of mass m1 75kg and length L 5.40m is supported by two vertical massless stringsString A is attached at a distance d 1.3m from the left end of the bar and is connected to the top plateString B is attached to the left end of the bar and is connected to the floorAn object of mass m2 3000kg is supported by the crane at a distance x 5.2m from the left end of the barThroughout this problem, positive torque is counterclockwiseUse 9.81m/s/s for the magnitude of the acceleration due to gravity(1) Find T(A) the tension in string A.(2) Find T(B) the magnitude of the tension in string B.Can someone please show how to do this?
I have tried to grasp the geometry of the problemWhat is the top plate And what has the crane to do with the horizontal bar? The crane seems to be a third string independently holding the mass of 3000 kgThe method for solving is quite straight forwardChoose the point where string A joins the beamCall that your turning point ( any position will actually do for this but choosing this position will make the calculations easiest.)Now take moments (calculate torques - same thing; depends what text book you use ) about this positionThe clockwise and anticlockwise moments must balance ( be equal to each other) and only the tension in string B is unknown and can be solved forSorry I can't show you - I still can't picture the setup.
I have tried to grasp the geometry of the problemWhat is the top plate And what has the crane to do with the horizontal bar? The crane seems to be a third string independently holding the mass of 3000 kgThe method for solving is quite straight forwardChoose the point where string A joins the beamCall that your turning point ( any position will actually do for this but choosing this position will make the calculations easiest.)Now take moments (calculate torques - same thing; depends what text book you use ) about this positionThe clockwise and anticlockwise moments must balance ( be equal to each other) and only the tension in string B is unknown and can be solved forSorry I can't show you - I still can't picture the setup.
