Static Equilibrium | 736g Beam & 5.25N Sphere | FBD & Tension Calc

In summary, a 736g uniform mass beam is used to suspend a sphere that weighs 5.25N, supported by an ideal rope attached to the wall at one third the length along the beam. The angle between the rope and the beam is 51.0 degrees. A free body diagram can be drawn to visualize the forces acting on the beam. The tension in the rope can be calculated, as well as the horizontal and vertical forces acting on the beam from the wall. It is not specified where exactly on the beam the sphere is attached.
  • #1
princessbabie
1
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A 736g uniform mass beam is used to suspend a sphere that weighs 5.25N. it is supported by an ideal rope attached to the wall, and one third the length along the beam (from the wall). The angle between the rope ans the beam is 51.0 degrees.

a) draw a free body diagram
b) calculate the tension in the rope
c) calculate the horizontal force acting on the beam from the wall (including direction)
d) calculate the vertical force acting on the beam from the wall ( including direction)
 
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  • #2
princessbabie said:
A 736g uniform mass beam is used to suspend a sphere that weighs 5.25N. it is supported by an ideal rope attached to the wall, and one third the length along the beam (from the wall). The angle between the rope ans the beam is 51.0 degrees.

a) draw a free body diagram
b) calculate the tension in the rope
c) calculate the horizontal force acting on the beam from the wall (including direction)
d) calculate the vertical force acting on the beam from the wall ( including direction)

exactly where on the beam is the sphere attached? possibly at the extreme end?
 

1. What is static equilibrium?

Static equilibrium is a state in which an object is at rest and all forces acting on it are balanced, resulting in no acceleration.

2. How do you calculate tension in a system?

Tension can be calculated using the equation T = mg, where T is tension, m is the mass of the object, and g is the acceleration due to gravity. In the case of the 736g beam and 5.25N sphere, the tension can be calculated by multiplying the mass of the beam (0.736kg) by the acceleration due to gravity (9.8 m/s^2), resulting in a tension of 7.2288N.

3. What is a free body diagram (FBD)?

A free body diagram is a visual representation of all the forces acting on an object. It helps to simplify a complex system and allows for the analysis of forces and their interactions.

4. How do you determine the direction of tension in a system?

The direction of tension can be determined by looking at the direction of the forces acting on the object in the free body diagram. Tension will always act in the opposite direction of the force that is pulling on the object.

5. Why is static equilibrium important in physics?

Static equilibrium is important in physics because it allows us to analyze and understand the forces acting on an object in a state of rest. It is also crucial in engineering and designing structures to ensure they are stable and able to support the weight and forces acting on them.

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