12. Consider a pulley with a friction less axle, and a counterweight and bucket connected by a mass-less rope wrapped ar

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12 Consider A Pulley With A Friction Less Axle And A Counterweight And Bucket Connected By A Mass Less Rope Wrapped Ar 1 (22.13 KiB) Viewed 32 times

Consider a pulley with a friction–less axle, and a counterweight and bucket connected by a mass–less rope wrapped around the pulley as shown in the figure. The pulley has the shape of a disk with mass M and radius R. The counterweight/bucket is accelerating, so is the pulley.
(a) Draw a free-body diagram of this system, indicating and labeling all forces acting on the individual parts. (b) Set up Newton’s laws of motion with all the information that is needed to solve for the acceleration in
terms of m1, m2, M, R, and g (Don’t solve for the acceleration, just set it up). (c) Explain how you would proceed from part (b) to solve for the acceleration.
12. Consider a pulley with a friction less axle, and a counterweight and bucket connected by a mass-less rope wrapped around the pulley as shown in the figure. The pulley has the shape of a disk with mass M and radius R. The counterweight/bucket is accelerating, so is the pulley. Ţ m₁ m₂ (a) Draw a free-body diagram of this system, indicating and labeling all forces acting on the individual parts. (b) Set up Newton's laws of motion with all the information that is needed to solve for the acceleration in terms of m₁, m₂, M, R. and g (Don't solve for the acceleration, just set it up). (c) Explain how you would proceed from part (b) to solve for the acceleration.