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The figure (Figure 1) shows a model of a crane that may be mounted on a truck.A

ID: 1313064 • 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 = 80.00kg and length L = 5.900m is supported by two vertical massless strings. String A is attached at a distance d = 1.300m 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 = 2000kg is supported by the crane at a distance x = 5.700m 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.

Part B

Find TB, the magnitude of the tension in string B.

Explanation / Answer

Ta + Tb = (80 + 2000)*9.807 = 20398.56 N

also by balancing moment

Ta*1.3 = 80*g*2.95 + 2000*g*5.7

Ta = 87780.194

from 1)

Tb = 67381.634 N

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