Torque exerted by a cylinder's weight

[24forChromium]

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)?

 

[CentrifugalKing]

T = (pL(r₂⁴-r₁⁴) × ((change in r)(p)(m)) * 2pi)

All of that divided by

60pi*(change in time)

 

[24forChromium]

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?