A long uniform wooden plank of mass rests horizontally and is supported by two…

PHYSICS · Multi-part · A Level · Physics · Mechanics and materials · Mechanics and materials

Problem

A 4.0 m4.0\,\text{m} long uniform wooden plank of mass 50 kg50\,\text{kg} rests horizontally and is supported by two vertical ropes attached at its ends. A painter whose mass is 80 kg80\,\text{kg} stands on the plank a distance 1.0 m1.0\,\text{m} from the left end. The system remains at rest. (1) Calculate the magnitude of the tension in the rope at the right end of the plank. (2) Determine the magnitude of the tension in the rope at the left end of the plank and explain the relationship between your answers in parts (a) and (b).

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