Maximum Torque / Evenly Spread across a lever.

In summary, the maximum torque on a 20-meter long lever is 1.5 x 10^6 Newtons. To evenly space people weighing 750N on this lever, the equation T=FR can be used, where T is the torque, F is the weight, and R is the length. Dividing the maximum torque by the weight of each person and integrating the length over the interval 0 to 20 will give the number of people that can stand on the lever. This method assumes that the number of people is constant when integrating. Alternatively, there may be simpler methods than integrating to solve this problem.
  • #1
Cyclopssummers
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Homework Statement


The maximum torque on a lever is 1.5 x 10^6 Newtons. How many people of weight 750N can stand evenly spaced on this lever, which has a length of 20 meters?

Homework Equations


T=FR
Weight=mg
W=Fd
X = Number of people

The Attempt at a Solution


I have set 1.5x10^6 N = (integral from 0-20) 750X dL.
I understand that the correct next step is to divide out the 750, and to integrate the length over the interval 0 to 20. However, I do not quite understand how this method works. Can we assume that X, the number of people, is a constant when integrating?
 
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  • #2
Is there an easier way than integrating?
 

FAQ: Maximum Torque / Evenly Spread across a lever.

What is maximum torque?

Maximum torque is the maximum amount of force that can be applied to a lever, causing it to rotate around a fixed point.

How is maximum torque calculated?

Maximum torque is calculated by multiplying the applied force by the distance from the point of rotation to the point where the force is applied.

What is the importance of evenly spreading torque across a lever?

Evenly spreading torque across a lever ensures that the force is distributed evenly, preventing any one part of the lever from being overloaded and potentially breaking.

How can one ensure that torque is evenly spread across a lever?

To ensure that torque is evenly spread, the force should be applied at a right angle to the lever and the distance between the point of rotation and the point of force application should be equal on both sides of the lever.

What are some real-world examples of maximum torque and evenly spread torque?

Real-world examples of maximum torque include using a wrench to loosen a bolt or using a lever to lift a heavy object. Ensuring evenly spread torque can be seen in the design of seesaws, wheelbarrows, and scissors.

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