Answer :
The force that the left support beam applies to the balance beam is zero.
To find the force that the left support beam applies to the balance beam, we can use the principle of moments. The principle of moments states that the sum of the clockwise moments is equal to the sum of the anticlockwise moments.
In this case, we have two forces acting on the balance beam: the weight of the balance beam and the force exerted by the left support beam. Since the weight of the balance beam is negligible, we can ignore it for now.
Let's assume that the force exerted by the left support beam is F, and the distance from the center of the beam to the left support beam is d = 1.625 m. The distance from the center of the beam to the right support beam will be the same, so we can call it d as well.
To balance the beam, the clockwise moment created by the force F must be equal to the anticlockwise moment created by the weight of the balance beam. Since the weight of the balance beam is negligible, we only need to consider the clockwise moment.
The clockwise moment created by the force F is given by the equation:
Moment = Force * Distance
So, the clockwise moment created by the force F is:
Moment = F * d
Now, according to the principle of moments, the clockwise moment must be equal to the anticlockwise moment. Since the weight of the balance beam is negligible, the anticlockwise moment is zero.
Setting the clockwise moment equal to zero, we have:
F * d = 0
Since the distance d is not zero, the force F must be zero in order to balance the beam.
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