show your claculations The figure (Figure 1) shows a model of a crane that may b
ID: 1602555 • Letter: S
Question
show your claculations
The figure (Figure 1) shows a model of a crane that may be mounted on a truck. A rigid uniform horizontal bar of mass m_ 1= 100 kg and length L = 5.80 m is supported by two vertical massless strings. String A is attached at a distance d = 1.90 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 m_2 = 2000 kg is supported by the crane at a distance x = 5.60 m from the left end of the bar. Throughout this problem, positive torque is counterclockwise and use 9.80 m/s^2 for the magnitude of the acceleration due to gravity. Find T_A, the tension in string A. Find T_B, the magnitude of the tension in string B.Explanation / Answer
Sum the torque about string B to determine the tension instring A:
= 0 = TA*1.9m - (5.8m /2)*100kg*9.81m/s2 - 5.6m*2000kg*9.81m/s2
TA =59324.7N
Sum the forces in the vertical direction to find the tensionin B:
Fy = 0 = -TB + TA -100kg*9.81m/s2 - 2000kg*9.81m/s2
TB =38723.7N
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