TB, the magnitude of the tension in string B. TA, the tension in string A. b.)Fi

Question

TB, the magnitude of the tension in string B. TA, the tension in string A. b.)Find uploaded imageThe figure shows a model of a crane that may be mounted on a truck. A rigid uniform horizontal bar of mass m1 = 85.00 kg and length L = 5.600 m is supported by two vertical massless strings. String A is attached at a distance d = 1.500 m from the left end of the bar and is connected to the top plate. String B is attached to the left end of the bar and is connected to the floor. An object of mass m2 = 3500 kg is supported by the crane at a distance x = 5.400 m from the left end of the bar. Throughout this problem, positive torque is counterclockwise and use 9.807 m/s^2 for the magnitude of the acceleration due to gravity. A.) Find

Explanation / Answer

If we consider the torque about the string A,then wt. of the block and bar has clockwise direction while Tb(acting downwards) has counter-clockwise.Also,the bar is in equilibrium,thus Ta will balance Tb and the wt. of bar and the block. eqn 1- m2g+m1g+Tb=Ta (3500+85)g+Tb=Ta eqn2- Tbxd-m1gx(L/2-d)-m2gx(x-d)=0 1.5Tb-85gx1.3-3500gx3.9=0 1.5Tb=13760.5g =>Tb=9173.67g and Ta=12758.67g

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