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The curved beam AB, shown in the figure, is held by a fixed support or frictionless bolt at A and a rocker arm at B. Based on this information:

a) Make a free-body diagram.

b) Determine the reactions at the fixed support in A.

Answer :

Final answer:

A free-body diagram of the beam AB can be drawn to display all forces acting on it, including its weight, applied load, and reactions from support A and B.

Explanation:

To answer this question involves understanding of engineering mechanics and the principles of statics. Let's start with part (a), to create a free-body diagram of the curved beam AB. On this diagram, you will depict the beam as a simple line or shape to represent its mass. Then, on this figure, draw every force acting on it. This would include its own weight acting downwards at the center of mass of the beam, any applied load, and the reactions at the fixed support A and the rocker arm B.Once the free-body diagram is created, we can apply Newton's second law to solve for the unknown forces. The sum of the forces in the vertical direction should be zero, since the beam is in equilibrium. This allows us to determine the reactions at the fixed support in A.

Now for part (b), the strategy is to apply the equilibrium conditions in terms of forces and moments to solve for the reactions at the fixed support in A. The sum of horizontal forces and the sum of vertical forces both equate to zero for this situation in equilibrium. Moreover, the sum of moments - which are forces causing rotation - also equate to zero. Using these pieces of information, we can form a set of equations to find the unknown reactions.

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