A crane is a machine which is used to lift very heavy objects. The crane housing

Question

A crane is a machine which is used to lift very heavy objects. The crane housing (where the operator sits and where everything connects) is located 50m above the ground. Behind the housing, is a movable counterweight (W_cw = 10^6 N), which can be moved from directly behind the housing up to 20m behind the housing (level to the housing). The counterweight slides on a track, W_t = 10^5 N. The crane boom is fixed at 30m long and has a weight of W_b =10^5 N. The boon is free to rotate from horizontal to the the housing upward through 90degrees. What is the maximum angle at which the crane safely can support a 2,000, 000 N container? 

Explanation / Answer

Maximum angle = tan-1[(2000000)/(105 * 30)]

                         = 33.69 degree

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