Determine the vertical components of the reaction on the beam caused b...
The summation of the forces needs to be zero. So does the summation of the moments need to zero. But talking about the angles, they not needed to zero. But the forces which are acting at particular angles, must needed to be equal to zero. The basic need of the forces to make the body in equilibrium.
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Determine the vertical components of the reaction on the beam caused b...
Vertical components of the reaction on the beam caused by the pin at Q can be determined by analyzing the forces acting on the beam.
Given:
Force applied = 60N
Force multiplied by 10 = 60N * 10 = 600N
To find the vertical components, we need to consider the equilibrium of forces acting on the pin at Q. The sum of vertical forces should be zero since the beam is in equilibrium.
Let's break down the forces acting on the pin at Q:
1. Weight of the beam:
The weight of the beam acts vertically downwards. This force can be represented by the equation:
Weight of the beam = mass of the beam * acceleration due to gravity
2. Reaction force at Q:
The reaction force at Q has both horizontal and vertical components. Since we are interested in the vertical component, we can denote it as RQy.
3. Applied force:
The applied force is acting vertically upwards and can be represented as 600N.
Now, let's consider the equilibrium of forces in the vertical direction:
Sum of vertical forces = Weight of the beam + RQy + Applied force = 0
Since the beam is in equilibrium, the sum of vertical forces should be zero. Therefore, we can write the equation as:
Weight of the beam + RQy + Applied force = 0
Substituting the values given:
Weight of the beam + RQy + 600N = 0
Since the weight of the beam is acting vertically downwards, it can be considered as a negative force. Therefore, the equation becomes:
-RQy + 600N = 0
Simplifying the equation:
RQy = 600N
Hence, the vertical component of the reaction on the beam caused by the pin at Q is 600N. Therefore, option A (319N) is incorrect.
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