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Figures 1 shows a tower crane with the properties listed in Table 1. The distance between the trolley and mast x can change from 0

Figures 1 shows a tower crane with the properties listed in Table 1. The distance between the trolley and mast x can change from 0 to dj (Figures 1 and 2).

Draw the free body diagram of the tower crane and calculate the reactions at O when the mass of the lifted body = 5000 and the distance = 20 m.

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Table 1: Specifications of the tower crane (See Figures 1 and 2 for definition of each specification)

Counter-weight mass

=1000(600.1) kg

Counter-jib length

=12 m

Mass of counter-jib

1=8000

Centre of mass of counter-jib

G1

Length of jib

=4015 (m)

mass of jib

2=32000 kg

Centre of mass of jib

G2

Height of mast

=40 m

Mass of mast

3=48000

Centre of mass of mast

G3

1 counter-weight 5 trolley 2 counter-jib 6 hook block 3 mast 7 lifted body 4 jib Figure 1: A tower crane (left) and its model (right). Figure 2: Tower crane specifications (See Table 1 for values of these specifications) 1 counter-weight 5 trolley 2 counter-jib 6 hook block 3 mast 7 lifted body 4 jib Figure 1: A tower crane (left) and its model (right). Figure 2: Tower crane specifications (See Table 1 for values of these specifications)

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