### Pulley System and Dynamics in ConstructionA pulley system with two buckets is set up to transport construction waste from a building under remodeling to the ground level.The initial setup and subsequent motion are captured in three diagrams:1. **Initial Position (Left Diagram)** - The left bucket (labeled 1) has a mass of 13.0 kg and is at the ground level. - The right bucket (labeled 2) has a mass of 19.0 kg and is positioned 4.2 meters above the ground. - The pulley used in this setup has a radius of 0.13 meters and a rotational inertia of 0.7 kg·m². 2. **Passing Position (Middle Diagram)** - This diagram represents the moment when the two buckets are passing each other midway during their motion.3. **Final Position (Right Diagram)** - In this position, the buckets have swapped heights: - The left bucket (1) is now elevated. - The right bucket (2) is at the ground level.### Problem StatementAt the beginning (as shown in the left diagram), the left bucket (1) has a mass of 13.0 kg and is resting on the ground level, while the right bucket (2) has a mass of 19.0 kg and is positioned 4.2 meters high. The pulley has a radius of 0.13 meters and a rotational inertia of 0.7 kg·m². The construction worker releases the right bucket, initiating the motion of both buckets.**Objective:** Determine the velocity of the buckets at the moment they pass each other (as depicted in the middle diagram). Assume there is no friction and the rope does not slip on the pulley.

Given m1=13kg m2=19 kg h=4.2m R=0.13m I=0.7 kg-m2

2 1 12 1 2 A pulley with two buckets are set up to pass construction waste from a building under remodeling to the ground level. At the beginning (left diagram) the left bucket has mass 13.0 kg and sits at ground level. The right bucket has mass 19.0 kg and sits at 4.2 m high. The pulley has radius 0.13 m and rotational inertia 0.7 kg.m^2. The construction worker in the building then let go of the right bucket so the buckets start to move. Ignore friction, how fast are the buckets when they are passing each other (middle diagram)? Assume the rope doesn't slip on the pulley.

2 1 12 1 2 A pulley with two buckets are set up to pass construction waste from a building under remodeling to the ground level. At the beginning (left diagram) the left bucket has mass 13.0 kg and sits at ground level. The right bucket has mass 19.0 kg and sits at 4.2 m high. The pulley has radius 0.13 m and rotational inertia 0.7 kg.m^2. The construction worker in the building then let go of the right bucket so the buckets start to move. Ignore friction, how fast are the buckets when they are passing each other (middle diagram)? Assume the rope doesn't slip on the pulley.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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