Answer :
To determine the horizontal and vertical components of reaction at pins A and D, as well as the force in the cable at the winch W, we need to analyze the forces acting on the wall crane.
First, let's consider the horizontal component at pin A. Since the crane is in equilibrium, the sum of the horizontal forces must be zero. Assuming there are no other horizontal forces acting on the crane, the horizontal component at pin A is zero.
Next, let's calculate the vertical component at pin A. The vertical component at pin A can be determined by summing the vertical forces. The weight of the load F acts vertically downward, so the vertical component at pin A is simply equal to the weight of the load F.
Moving on to pin D, the horizontal component is the same as the horizontal component at pin A, which is zero.
For the vertical component at pin D, the sum of the vertical forces must be zero since the crane is in equilibrium. Therefore, the vertical component at pin D is equal to the negative of the vertical component at pin A, which is equal to the weight of the load F.
Lastly, let's find the force in the cable at the winch W. The force in the cable is equal to the tension in the cable, which is the same as the weight of the load F.
In summary:
- The horizontal components of reaction at pins A and D are both zero.
- The vertical component at pin A is equal to the weight of the load F.
- The vertical component at pin D is equal to the negative of the vertical component at pin A, which is equal to the weight of the load F.
- The force in the cable at the winch W is equal to the weight of the load F.
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