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p75213
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I have a cylinder wound with string. The free end of the string has a weight dangling from it. Is the tension in the string simply mass of the weight*gravity?
No, not if the mass is accelerating.p75213 said:I have a cylinder wound with string. The free end of the string has a weight dangling from it. Is the tension in the string simply mass of the weight*gravity?
Some points:p75213 said:That's the worked solution. Now let's look at T - equation (a)
T-49=2.5*alpha
T=2.5*alpha+49
T=100.6N
I would have thought T was equal to mg=5*9.8=49N
Doc Al said:Some points:
(1) Redo your solution as you've made an error. You have the tension greater than the weight of the hanging mass. That would mean the mass rises instead of falls!
(2) If the tension equaled mg, then the hanging mass would be in equilibrium.
(3) You can check your work by solving the problem using energy methods.
Tension in a string is caused by an external force acting on it, such as pulling or stretching the string.
Tension in a string can be calculated using the formula T = F * L, where T is the tension in the string, F is the force applied to the string, and L is the length of the string.
Tension is important in string instruments because it determines the pitch and sound quality of the instrument. The higher the tension, the higher the pitch and the brighter the sound.
Tension affects the frequency of vibrations in a string. A higher tension results in a higher frequency of vibrations, producing a higher pitch.
Yes, tension in a string can be too high and can result in the string breaking. It is important to find the appropriate tension for each string in order to produce the desired sound and prevent damage to the string.