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in Olympiad by (25 points)
An overhead crane is being erected to construct a multi storied building. The horizontal arm of the crane has a linear mass density of \( 100 kg / m \) and is \( 50 m \) in length. Its short arm on the opposite side of the support is \( 5 m \) long. A pulley block on the long arm, which can be moved along the arm, weighs \( 500 kg \). Ignore the mass of the vertical frame. The vertical frame will twist and break if there is an excess imbalance of more than 10 percent. What is the minimum counter balance required on the short arm which is to be installed on a permanent basis. a) \( 27000 kg \) b) \( 29750 kg \) c) \( 26750 kg \) d) \( 25000 kg \)

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