Exercise 11.15 The boom in the figure below (Figure 1) weighs 2950 Nand is attac

Question

Exercise 11.15

The boom in the figure below (Figure 1) weighs 2950 Nand is attached to a frictionless pivot at its lower end. It is not uniform; the distance of its center of gravity from the pivot is 38.0 % of its length.

Part A

Find the tension in the guy wire.

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Part B

Find the horizontal component of the force exerted on the boom at its lower end.

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Part C

Find the vertical component of the force exerted on the boom at its lower end.

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Figure 1 of 1

Exercise 11.15

The boom in the figure below (Figure 1) weighs 2950 Nand is attached to a frictionless pivot at its lower end. It is not uniform; the distance of its center of gravity from the pivot is 38.0 % of its length.

Part A

Find the tension in the guy wire.

T = __ N  

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Part B

Find the horizontal component of the force exerted on the boom at its lower end.

Hh = __   N  

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Part C

Find the vertical component of the force exerted on the boom at its lower end.

Hv = __ N  

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Figure 1 of 1

Explanation / Answer

a)

AC = length = L

AB = 0.38 L

Taking equilibrium of torque about point A

Fg (AB)cos60 + T (AC) Cos60 = T' (AC) Sin60

2950 (0.38L) Cos60 + 5000 (L) Cos60 = T' (L) Sin60

T' = 3533.96 N

b)

Taking equilibrium of forces along X-axis

Fx = T'

Fx = 3533.96 N

c)

Taking equilibrium of forces along Y-axis

Fy = Fg + T

Fy = 2950 + 5000

Fy = 7950 N

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