The figure (Figure 1) shows a model of a crane that may be mounted on a truck.A
ID: 1289202 • Letter: T
Question
The figure (Figure 1) shows a model of a crane that may be mounted on a truck.A rigid uniform horizontal bar of mass m1 = 95.00kg and length L = 5.600m is supported by two vertical massless strings. String A is attached at a distance d = 2.000m 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 = 2500kg is supported by the crane at a distance x = 5.400m from the left end of the bar. Throughout this problem, positive torque is counterclockwise and use 9.807m/s2 for the magnitude of the acceleration due to gravity.
Part A
Find TA, the tension in string A.
Express your answer in newtons using four significant figures.
Part B
Find TB, the magnitude of the tension in string B.
Express your answer in newtons using four significant figures.
The figure (Figure 1) shows a model of a crane that may be mounted on a truck.A rigid uniform horizontal bar of mass m1 = 95.00kg and length L = 5.600m is supported by two vertical massless strings. String A is attached at a distance d = 2.000m 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 = 2500kg is supported by the crane at a distance x = 5.400m from the left end of the bar. Throughout this problem, positive torque is counterclockwise and use 9.807m/s2 for the magnitude of the acceleration due to gravity. Part A Find TA, the tension in string A. Express your answer in newtons using four significant figures. Part B Find TB, the magnitude of the tension in string B. Express your answer in newtons using four significant figures.Explanation / Answer
net torque = 0 (about B)
Ta*d = m1*g*(L/2) + m2*g*x
Ta*2 = (95*9.8*2.8)+(2500*9.8*5.4)
Ta = 67453.4 N
net torque = 0 (about A)
Tb*d = (m1*g*(L-d)) + (m2*g*(x-d))
Tb*2 = (95*9.8*(5.6-2)) + (2500*9.8*(5.4-2))
Tb = 43325.8 N
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