Torque: Understanding with a Simple Example

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When comparing two squares of the same mass but different sizes, applying a force at the corner of the smaller square generates less torque than at the larger square due to the distance from the center of mass. The torque is influenced by the point of contact, with the larger square having a greater moment of inertia. This relationship clarifies that while the larger square experiences more torque from the same force, its moment of inertia is also higher. Understanding these principles helps in grasping the dynamics of torque in simple systems. The discussion emphasizes the importance of both torque and moment of inertia in rotational motion.
Chopcsu
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Just tryin to wrap my head around it, say I've got 2 squares(only worrying about 2d), assuming one is twice the size as the other but same mass.
if i push on the corner of the small square there is less toque than if i did the same push on the large box since its conact point is further from the cm?


just a simple example id like clarrified to help me understand better
 
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I assume you are talking about the torques about the centres, generated by equal forces. Then:
True , but the moment of inertia of the bigger square is largest.
 
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cheers, yeah i was thinking of the simple case

thanks for the answer, does help...sorta new it myself but wanted to hear it from someone else...
 
For simple comparison, I think the same thought process can be followed as a block slides down a hill, - for block down hill, simple starting PE of mgh to final max KE 0.5mv^2 - comparing PE1 to max KE2 would result in finding the work friction did through the process. efficiency is just 100*KE2/PE1. If a mousetrap car travels along a flat surface, a starting PE of 0.5 k th^2 can be measured and maximum velocity of the car can also be measured. If energy efficiency is defined by...

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