Question

2. (50 points) A uniform rod of length L and mass m is hinged to a wall at one end and suspended from the wall by a cable that is attached to the other end of the rod at an angle of B to the rod (see figure below). Assume the cable has zero mass. There is a contact force at the pivot on the rod. The magnitude and direction of this force is unknown. In this problem you will solve for the tension in the cable and the direction and magnitude of the contact force at the pivot. Express your answers in terms of known quantities. You can take the acceleration due to gravity, g, to be known. For this problem take the pivot on the rod to be the origin/pivot point. a) (2 pts.) Model: How will you model this problem? b) (12 pts.) Visualize: Draw the forces acting on the rod and label all relevant quantities c) (12 pts.) Solve: What is the tension in the cable? d) (12 pts.) Solve: Find the x- and y- components of the force acting on the pivot. e) (12 pts.) Solve: Find the direction of the contact force at the rod's pivot

Answer 1

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