In a city park a nonuniform wooden beam 4.00 m long is suspended horizontally by a light steel cable at each end. The cable at the left-hand end makes an angle of 30.0° with the vertical and has tension 620 N. The cable at the right-hand end of the beam makes an angle of 50.0° with the vertical. As an employee of the Parks and Recreation Department, you are asked to find the weight of the beam and the location of its center of gravity.

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In a city park a nonuniform wooden beam 4.00 m long is
suspended horizontally by a light steel cable at each end. The cable at
the left-hand end makes an angle of 30.0° with the vertical and has tension
620 N. The cable at the right-hand end of the beam makes an angle
of 50.0° with the vertical. As an employee of the Parks and Recreation
Department, you are asked to find the weight of the beam and the location
of its center of gravity.

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