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 m1 = 75.0 kg and length L = 5.10 m is supported by two vertical massless strings. String A is attached at a distance d = 2.00 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 m2 = 3000 kg is supported by the crane at a distance x = 4.90 m from the left end of the bar.

Throughout this problem, positive torque is counterclockwise and use 9.80 m/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 three significant figures.
TA=

Part B

Find TB , the magnitude of the tension in string B.
Express your answer in newtons using three significant figures.

TA =

Explanation / Answer

a) sum torques about left

(-TA * d) + (m1 g * L/2) + (m2 g x) = 0

(-TA * 2.00) + (75 * 9.8 * 5.1/2) + (3000 * 9.8 * 4.9) = 0

TA * 2.00 = (75 * 9.8 * 5.1/2) + (3000 * 9.8 * 4.9)

tension in string A TA = 7.29 * 104 N

b) TA - TB - m1 g - m2 g = 0

TB = TA - m1 g - m2 g

= 72967 - (75 * 9.8) - (3000 * 9.8)

tension in string B, TB = 4.28 * 104 N

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