The figure shows a model of a crane that may be mounted on atruck.A rigid unifor

Question

The figure shows a model of a crane that may be mounted on atruck.A rigid uniform horizontal bar of mass shows a model of acrane that may be mounted on a truck.A rigid uniform horizontal barof mass = 95.00 and length = 5.200 is supported by two vertical massless strings. String Ais attached at a distance = 1.200 from the left end of the bar and is connected to the topplate. String B is attached to the left end of the bar and isconnected to the floor. An object of mass = 2500 is supported by the crane at a distance = 5.000 from the left end of the bar. Throughout this problem, positive torque is counterclockwise.Use 9.81 for the magnitude of the acceleration due togravity. 1. Find , the tension in string A. 2. Find , the magnitude of the tension in string B.

Explanation / Answer

The figure shows a model of a crane that may be mounted on a truck.A rigid uniform horizontal bar of mass m1 = 80kg and length L = 6.00m is supported by two vertical massless strings. String A is attached at a distance d = 1.4m 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 = 3500kg is supported by the crane at a distance x = 5.8m from the left end of the bar. Throughout this problem, positive torque is counterclockwise. Use 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. As bar is in rotational equilibrium,taking torque at left end Torque due to T(B) =0 Torque due to T(A) =T(A)*1.4 counterclockwise Torque due to weight of bar = 80*9.81*3=2354.4 N clockwise Torque due to weight of object =3500*9.81*5.8=199143 N clockwise counterclockwise torque =clockwise torque T(A)*1.4 =201497.4 T(A) =143926.71 N T(B) + m1g +m2g =T(A) T(B)=143926.71 -3580*9.81 T(B) =108806.91 N (1) T(A) the tension in string A.is 143926.71 N (2) T(B) the magnitude of the tension in string B is 108806.91 N

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