The boom shown in the figure has a length of 4 m. and weighs 300 N. It is used t

Question

The boom shown in the figure has a length of 4 m. and weighs 300 N. It is used to lift a weight of 400 N. If the boom is inclined at 53 degrees to the horizontal, calculate the tension T in the tie which is linked to the boom at a distance of 3 m from the ground. The correct answer is 550N, can someone please show and explain the procedures.

The boom shown in the figure has a length of 4 m. and weighs 300 N. It is used to lift a weight of 400 N. If the boom is inclined at 53 degrees to the horizontal, calculate the tension T in the tie which is linked to the boom at a distance of 3 m from the ground. The correct answer is 550N, can someone please show and explain the procedures.

Explanation / Answer

There will be some reaction forces at P. TO get rid of these irritating unknown forces, simply take torques about the point P :) :) Equating clockwise and anticlockwise torques, (T*3sin53) = (300*2cos53) + (400*4cos53) Solving, we get T = 552.61 N (Your teacher will be thrilled if you give the accurate answer! :) ) = 550 N (approximately) Hope you like my short and awesome method :)

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