Torque exerted by a cylinder's weight

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The discussion focuses on calculating the torque exerted by a horizontally held cylindrical stick based on its dimensions and density. The formula provided for torque includes variables such as length, density, and radius, with a specific emphasis on the difference between two radii (r1 and r2). A participant seeks clarification on whether the time factor in the equation can be ignored when the stick is horizontal. Additionally, there is a correction regarding the notation of density, confirming that "p" should be interpreted as "ρ." The conversation highlights the complexities of torque calculations in relation to the physical properties of the cylinder.
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Imagine a person holding a stick horizontally, the stick is in the shape of a cylinder, with radius(r), length(L), and density(rho), consider the contacting area between the hand and the stick to be a point at the centre of the circular surface pointing toward the person, what is the torque exerted by the cylinder around the point of contact (as the pivot)?
 
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T = (pL(r24-r14) × ((change in r)(p)(m)) * 2pi)

All of that divided by

60pi*(change in time)
 
CentrifugalKing said:
T = (pL(r24-r14) × ((change in r)(p)(m)) * 2pi)

All of that divided by

60pi*(change in time)
Can you explain what is the difference between r_1 and r_2 please? Also, I am looking for the torque of the moments of time in which the stick is horizontal, so can I assume that I can ignore the 60pi*(change in time) part?

I assume that you meant ρ when you typed "p", is that what it is?
 

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