Most of uswould understand the concept of torque. However, I am going to ask a question which is slightly more involved. I shall spin a rod of length 'L' with an angular velocity 'ω' about its centre of mass and place it on a ground with a kinetic friction coeficcient of ηk. Without using the torque equation and only applying Newton's 2ndlaw of motion (F=ma) , could you derive the rod's 'ω' as function of time, 't'. This is a very interesting exercise to clearly understanding the various forces acting on and inside a rigid body, the direction of those forces and the associated unknowns. Many students fail to understand the constraintsofa rigid body motion. They alsodo not easilyappreciate how using the torque euqation so much simplifies rigid body dynamics. I hope this exercise will be fun. I will post the solution in a few days though.

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Most of us would understand the concept of torque. However, I am going to ask a question which is slightly more involved. I shall spin a rod of length 'L' with an angular velocity 'ω' about its centre of mass and place it on a ground with a kinetic friction coeficcient of ηk. Without using...
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Most of uswould understand the concept of torque. However, I am going to ask a question which is slightly more involved. I shall spin a rod of length 'L' with an angular velocity 'ω' about its centre of mass and place it on a ground with a kinetic friction coeficcient of ηk. Without using the torque equation and only applying Newton's 2ndlaw of motion (F=ma) , could you derive the rod's 'ω' as function of time, 't'. This is a very interesting exercise to clearly understanding the various forces acting on and inside a rigid body, the direction of those forces and the associated unknowns. Many students fail to understand the constraintsofa rigid body motion. They alsodo not easilyappreciate how using the torque euqation so much simplifies rigid body dynamics. I hope this exercise will be fun. I will post the solution in a few days though. read less
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