Maximum Upward Acceleration of a String

In summary, the maximum tension of 200 N can be used to calculate the maximum upward acceleration for a 10 kg mass. By taking into account the force of gravity and the tension of the string in a free body diagram, the net force in the downward direction cannot exceed 200 N. The correct equation to solve this problem is T=ma.
  • #1
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Homework Statement


A string can withstand a maximum tension of 200 N. What is the maximum upward acceleration one can impart to a 10 kg mass using this string?


Homework Equations


T=ma
a=F/m


The Attempt at a Solution


so i tried just plugging those variables in that equation and i got 20 m/s^2 i know this is wrong but i can't seem to find the right equation to solve this problem. please help i know its simple
 
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  • #2
Draw out the free body diagram. There's both gravity and the tension of the string that you need to take into account.
 
  • #3
And if you know your net force in the downward direction cannot exceed 200 N, then...

And don't forget to include gravity in your force diagrams.
 

What is the maximum upward acceleration of a string?

The maximum upward acceleration of a string is the maximum rate at which the string can accelerate upwards when acted upon by an external force. It is typically measured in meters per second squared (m/s^2).

What factors affect the maximum upward acceleration of a string?

The maximum upward acceleration of a string can be affected by several factors, including the tension of the string, the mass of the string, and any external forces acting on the string, such as gravity or friction.

How is the maximum upward acceleration of a string calculated?

To calculate the maximum upward acceleration of a string, you can use the formula a = F/m, where a is the acceleration, F is the force applied to the string, and m is the mass of the string.

Why is the maximum upward acceleration of a string important?

The maximum upward acceleration of a string is important because it helps us understand the behavior of strings when they are subjected to external forces. This knowledge can be applied in various fields, such as engineering, physics, and music.

Can the maximum upward acceleration of a string be greater than the acceleration due to gravity?

Yes, the maximum upward acceleration of a string can be greater than the acceleration due to gravity. This is because the maximum upward acceleration takes into account all external forces acting on the string, while the acceleration due to gravity only considers the force of gravity.

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