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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 the torque equation and only applying Newton's 2nd;law 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 constraints;of;a rigid body motion. They also;do not easily;appreciate 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 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 the torque equation and only applying Newton's 2nd law 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 constraints of a rigid body motion. They also do not easily appreciate 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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