What is the minimum distance D that will prevent the cable from snapping?

In summary, a uniform beam of weight 400 N and length 3.2 m is suspended horizontally with a hinge on the left and a cable supporting it on the right. The least tension that will snap the cable is 1200 N. To find the corresponding value of D, the equation can be set up as a torque equation and solved for the radius. However, any value of D that keeps the beam in equilibrium without snapping the cable can be chosen. This can be solved using basic mathematics, considering the beam's horizontal position and the perpendicular wall on the left and the cable on the right.
  • #1
zen123
3
0
a uniform beam of weight 400 N and length 3.2 m is suspended horizontally. On the left it is hinged to a wall; on the right is it supported by a cable bolted to the wall at distance D above the beam. The least tension that will snap the cable is 1200 N.





(a) What value of D corresponds to that tension?
m
(b) Give any value for D that won't snap the cable.
m
 
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  • #2
well if u don't give us your thoughts we won't help you
 
  • #3
im just not sure how to find D. i tired useing it as a torque equation, and solve for the radius, but i just can't seen to get it right. i am at a loss for what to do!
 
  • #4
i remenber those kind of question your question is so easy that even you don't need any kind of equations just mathematics think this is a hint (the beam is horizontal and the wall is at left perpendicular to it and at right the cable is letting it to be on equilibrium so what to do well try to think its only math)
 

1. What is equilibrium?

Equilibrium refers to a state in which there is no net change or movement in a system. It can occur when opposing forces or factors are balanced, resulting in a stable state.

2. How is equilibrium achieved in terms of elasticity?

In terms of elasticity, equilibrium is achieved when the force applied to an elastic material is equal to the restoring force of the material. This means that the material will return to its original shape and size after the force is removed.

3. What is the difference between static and dynamic equilibrium?

Static equilibrium occurs when a system is at rest and there is no net force acting on it. Dynamic equilibrium, on the other hand, occurs when there is constant motion or change in a system, but the overall state remains unchanged.

4. How is equilibrium related to the concept of stability?

In general, equilibrium is associated with stability, as a balanced system is less likely to be disturbed or disrupted. However, some systems can be in a state of unstable equilibrium, where a small disturbance can cause the system to change significantly.

5. What factors can affect the equilibrium and elasticity of a system?

The equilibrium and elasticity of a system can be affected by various factors such as temperature, pressure, and the material properties of the system. Additionally, the presence of external forces or changes in the environment can also impact the equilibrium and elasticity of a system.

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