A force is applied to the end of a 2.0ft long uniform board weighing 50. lb , in

Question

A force is applied to the end of a 2.0ft long uniform board weighing 50. lb, inorder to keep it horizontal, while it pushes against a wall at theleft. If the angle the force makes with the board is30° in the direction shown in Figure , what is theapplied force F? pick one answer----->A) 29. lb B) 58.lb C) 32. lb   D) 50.lb   E) 90. lb   Please give step by step instructions with solution for 14points A force is applied to the end of a 2.0ft long uniform board weighing 50. lb, inorder to keep it horizontal, while it pushes against a wall at theleft. If the angle the force makes with the board is30° in the direction shown in Figure , what is theapplied force F? pick one answer----->A) 29. lb B) 58.lb C) 32. lb   D) 50.lb   E) 90. lb   Please give step by step instructions with solution for 14points

Explanation / Answer

length of the uniform board l = 2.0 ft weight w = 50. lb the angle the force makes with the board is =30o forces acting on board are Fx = w * cos and Fy = (n + w * sin) + (-w) = 0 or n = w * (sin + 1) the applied force is F = w * cos = 50 * cos(30o) = 43.3 lb forces acting on board are Fx = w * cos and Fy = (n + w * sin) + (-w) = 0 or n = w * (sin + 1) the applied force is F = w * cos = 50 * cos(30o) = 43.3 lb

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