The figure shows a model of a crane that may be mounted on a truck. A rigid unif
ID: 2116608 • Letter: T
Question
The figure shows a model of a crane that may be mounted on a truck. A rigid uniform horizontal bar of mass shows a model of a crane that may be mounted on a truck.A rigid uniform horizontal bar of mass m_1 = 95.00 kg and length L = 6.000 m is supported by two vertical massless strings. String A is attached at a distance d = 1.300 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 = 3000 kg is supported by the crane at a distance x = 5.800 m from the left end of the bar. Throughout this problem, positive torque is counterclockwise.Use 9.81 m/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
The figure shows a model of a crane that may be mounted on a truck. A rigid uniform horizontal bar of mass shows a model of a crane that may be mounted on a truck.A rigid uniform horizontal bar of mass m_1 = 95.00 kg and length L = 6.000 m is supported by two vertical massless strings. String A is attached at a distance d = 1.300 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 = 3000 kg is supported by the crane at a distance x = 5.800 m from the left end of the bar. Throughout this problem, positive torque is counterclockwise.Use 9.81 m/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 BExplanation / Answer
take moments about left end
T_A*d -m1*g*L/2 - m2*g*x = 0
T_A = 133453.73 N
taking moments about point A gives
T_B *d - m1*g*(l/2 - d) - m2*g*(x-d) = 0
solving T_B = 103091.78 N
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