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A tower crane ( Figure 1 ) must always be carefully balanced so that there is no

ID: 2242104 • Letter: A

Question






A tower crane (Figure 1) must always be carefully balanced so that there is no net torque tending to tip it. A particular crane at a building site is about to lift am = 2800-kg air-conditioning unit. The crane's dimensions are shown in (Figure 2) . The crane's counterweight has a mass of M = 9600kg . Ignore the mass of the beam.


Part A Where must the crane's counterweight be placed when the load is lifted from the ground? (The counterweight is usually moved automatically via sensors and motors to precisely compensate for the load.)


I have Part A x=2.2m


I need Part B...Determine the maximum load that can be lifted with this counterweight when it is placed at its full extent.



Please show the steps very clearly. Thank you

A tower crane (Figure 1) must always be carefully balanced so that there is no net torque tending to tip it. A particular crane at a building site is about to lift am = 2800-kg air-conditioning unit. The crane's dimensions are shown in (Figure 2) . The crane's counterweight has a mass of M = 9600kg . Ignore the mass of the beam. Part A Where must the crane's counterweight be placed when the load is lifted from the ground? (The counterweight is usually moved automatically via sensors and motors to precisely compensate for the load.)

Explanation / Answer

B) M*3.4 = m*7.7

9600*3.4 = m*7.7

m = 4238.96 kg

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