Cylinder Sliding Down a Slope Physics Question help plz.
10
In order to allow a cylinder to slide steadily with a constant velocity down a slope at an angle θ to the horizontal, rather than rolling down it, a force T is applied to the cylinder by means of a cable attached to the cylinder. This cable is parallel to the slope, and at a perpendicular distance h from the slope. The cylinder has a weight W and a diameter D. The coefficient of kinetic friction, μ between the cylinder and the slope is known.
Find an expression for h in terms of D, μ and θ.
So I started off by resolving forces and got T = mg(sin(theta) - mu*cos(theta)), but I don't know what to do from there and how to relate D and h with this expression. Could someone please point me in the right direction?
Thanks
Find an expression for h in terms of D, μ and θ.
So I started off by resolving forces and got T = mg(sin(theta) - mu*cos(theta)), but I don't know what to do from there and how to relate D and h with this expression. Could someone please point me in the right direction?
Thanks
Reply 1
slide and not roll => moments are balanced (otherwise there would be a net torque and therefore an angular acceleration)
Based on looking at the question and a quick diagram, looks like you should:
Solve (1) for T and then sub it in to get h by subbing into (2)
Based on looking at the question and a quick diagram, looks like you should:
1.
resolve forces
2.
take moments about the contact point with the slope (ig you could about CoM, but that's probably pretty messy.)
Reply 2
akashDTV
OP
10
Original post
by Harik0slide and not roll => moments are balanced (otherwise there would be a net torque and therefore an angular acceleration)
Based on looking at the question and a quick diagram, looks like you should:
Solve (1) for T and then sub it in to get h by subbing into (2)
Based on looking at the question and a quick diagram, looks like you should:
1.
resolve forces
2.
take moments about the contact point with the slope (ig you could about CoM, but that's probably pretty messy.)
Ohhh you had to take moments. Thanks a lot I understand it now.
Reply 3
Original post
by akashDTVOhhh you had to take moments. Thanks a lot I understand it now.
nws
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