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 = 85.00kg and length L = 5.100m is supported by two vertical massless strings. String A is attached at a distance d = 1.200m 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 = 2500kg is supported by the crane at a distance x = 4.900m from the left end of the bar. Throughout this problem, positive torque is counterclockwise and use 9.807m/s^2 for the magnitude of the acceleration due to gravity.

Explanation / Answer

let tension in A be T1 and B be T2

taking moment from B

m2 * x + m1*L/2 = T1*d

T1 = 103KN

taking moment from A,

T2*d = m2(d - x) + m1*(L/2 - x)

put values and get T2

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