Physics: Calculate amount of torque required to keep a cylinder rotating

A cylinder of mass M and radius R is rotated in a uniform V grove (which looks like a rectangular block with an 45-45-90 degree triangular prism cut from the center- that the cylinder rotates in) The cylinder has a constant angular velocity w and a coefficient of friction u with each surface. What torque must be applied to the cylinder to keep it rotating?

Hint: If u=0.5, R=0.1m, W=100N then torque=5.7 Nm

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First, we need to solve for friction, f, on the ...

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See attached file.
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Q#1
Explain (a) how it is possible for a large force to produce only a small or even zero, torque, and (b) how it is possible for a small force to produce a large torque.
q#2
A hoop, a solid cylinder, a spherical shell, and a solid sphere are placed at rest at the top of an incline. All the objects have the same ra

A hydraulic press for compacting powdered samples has a large cylinder which is x = 11.8 cm in diameter, and a small cylinder with a diameter of y = 1.96 cm (see figure).
A lever is attached to the small cylinder as shown. The sample which is placed on the large cylinder, has an area of 4.09 cm2. What is the pressure on th