How to find cord tension and hinge force?

By setting the torques in opposite directions equal to each other, you can solve for the unknowns.In summary, to solve for the cord tension and hinge force in this problem, you can use equations of static equilibrium and set the torques in opposite directions equal to each other. The answers for tension and force are 69N and 130N respectively.
  • #1
matahari
1
0

Homework Statement


A 5 kg 10 m beam is hanging from a wall. The angle between the cord and the wall is 30 degrees, and a 10kg mass is situated one meter away from the wall. How do I solve for cord tension and hinge force?

Homework Equations


Torque_cw=Torque_ccw?

The Attempt at a Solution


it says the answers are 69N and 130N for tension and force respectively.
 
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  • #2
matahari said:

Homework Statement


A 5 kg 10 m beam is hanging from a wall. The angle between the cord and the wall is 30 degrees, and a 10kg mass is situated one meter away from the wall. How do I solve for cord tension and hinge force?

Homework Equations


Torque_cw=Torque_ccw?

The Attempt at a Solution


it says the answers are 69N and 130N for tension and force respectively.

Draw a free body diagram of the beam and the cord, with the weight attached to the beam.

Write equations of static equilibrium for the free body so that you can determine the unknown tension and the hinge force.
 

Related to How to find cord tension and hinge force?

1. How do you measure cord tension and hinge force?

To measure cord tension, you will need a tension gauge. This device measures the amount of force being applied to the cord. To measure hinge force, you can use a force gauge or a spring scale. Simply attach the gauge to the hinge and pull or push to measure the force.

2. What are the factors that affect cord tension and hinge force?

Cord tension is affected by the length and thickness of the cord, the weight of the object attached to the cord, and the angle at which the cord is pulled. Hinge force is affected by the weight and size of the door or object attached to the hinge, the type of hinge used, and the angle at which the door is opened or closed.

3. Can I calculate cord tension and hinge force mathematically?

Yes, you can calculate cord tension and hinge force using the formula F = ma, where F is the force, m is the mass, and a is the acceleration. However, this method may not be as accurate as using a tension or force gauge.

4. How often should I check cord tension and hinge force?

It is recommended to check cord tension and hinge force at least once a year. However, if the door or object is used frequently or experiences heavy loads, it is best to check the tension and force more often.

5. What are the consequences of incorrect cord tension and hinge force?

Incorrect cord tension can lead to the cord breaking or the object falling, causing potential injuries. Incorrect hinge force can cause the door or object to not close properly or slam shut, potentially damaging the door or object and causing injuries. It is important to regularly check and maintain proper cord tension and hinge force to ensure safety and functionality.

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