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

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 m_1 = 80.00 kg and length L = 5.900 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 = 3500 kg is supported by the crane at a distance x = 5.700 m from the left end of Find T_A, the tension in string A. Express your answer in newtons using four significant figures. Find T_B, the magnitude of the tension in string B. Express your answer in newtons using four significant figures.

Explanation / Answer

Let tension in string A = Ta and tension in string B=Tb

hence by balancing forces we have

Ta = Tb +m1*g + m2*g

by balancing torque at centre of mass of m1 we have

Ta*1.65 + m2g*2.75= Tb*2.95

hence solving both equatioons we get

Ta = 155276.923 newton

Tb = 119476.923 newton

Ta  =

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