Question

1. Consider two cylinders rolling without slipping on inclines. A single, massless ribbon is wrapped around one cylinder, goes over a pulley, and, on the other side is wrapped around the other cylinder. The pulley is massless and frictionless; the ribbon remains taught and doesn't slip. [Hint: All the triangles are 3:45.] (If you have trouble imagining that the cylinders do not slip, consider pinions.) that we're dealing with racks and

Frictionless, massless pulley

Massless ribbon

Cylinder 2 R₂ = 0.10 m m₂ = 0.10 kg

Cylinder 1 R₁ = 0.20 m m₁ = 0.40 kg

1.20 m

X₁ = 0.40 m

1.60 m

0.90 m

a. If cylinder I rolls a distance X, down the left side, what length x, of ribbon is pulled across the pulley? [The answers to Parts a) through f) are all SHORT. Make sure X looks different than x.]

b. If cylinder 2 rolls a distance X2 up the left side, what length x2 of ribbon is fed across the pulley?

c. What is the relation between the distances X₁ and X₂?

d. What is the relation between the speeds V₁ and V of the centers of mass of the two cylinders?

e. If Cylinder 1 rolls a distance X, down the left side, what is its loss in height hy, and, if Cylinder 2 rolls a distance X2 up the right side, what is its gain in height h₂?

f. If cylinder 1 has the speed V₁, what is its angular speed , and if cylinder 2 has the speed V₂, what

is its angular speed w₂?​

Answer 1

Answer:

what a big question

Explanation:

I don't know the answer