A solid cylinder (mass 1.2kg, radius 5.0cm) on a horizontal table is connected to a block (mass 200 g) via a pulley (mass 0.80kg, radius 10.0cm) via a light, rigid string. Draw free body diagram for each of the object 1) list the dynamic and kinematic equations that related to all three objects. 2) find the acceleration of the falling block 3) fnd the angular acceleration of the cylinder and the friction force on it
A solid cylinder (mass 1.2kg, radius 5.0cm) on a horizontal table is connected to a block (mass 200 g) via a pulley (mass 0.80kg, radius 10.0cm) via a light, rigid string. Draw free body diagram for each of the object 1) list the dynamic and kinematic equations that related to all three objects. 2) find the acceleration of the falling block 3) fnd the angular acceleration of the cylinder and the friction force on it
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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A solid cylinder (mass 1.2kg, radius 5.0cm) on a horizontal table is connected to a block (mass 200 g) via a pulley (mass 0.80kg, radius 10.0cm) via a light, rigid string. Draw free body diagram for each of the object
1) list the dynamic and kinematic equations that related to all three objects.
2) find the acceleration of the falling block
3) fnd the angular acceleration of the cylinder and the friction force on it

Transcribed Image Text:**Diagram Explanation for Educational Use**
The image depicts a simple mechanical system involving three main components: a cylinder, a pulley, and a block.
1. **Cylinder**:
- Positioned horizontally at the top left of the diagram.
- Appears to be fixed and is in contact with a rope or belt that runs over it towards the pulley.
2. **Pulley**:
- Located in the center-right area of the diagram.
- The pulley is depicted as a circular object with an arrow indicating its rotation direction.
- It connects the cylinder to the block by means of a rope or belt.
3. **Block**:
- Situated at the bottom right of the diagram.
- It is illustrated as a square with shading, possibly indicating weight or mass.
- This block is suspended or connected by the rope running over the pulley.
Overall, this diagram represents a basic pulley system, highlighting the interaction between the cylinder, pulley, and block through a connecting rope or belt. This setup is commonly used to illustrate principles of mechanical advantage and the conversion of force in physics or engineering contexts.
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Step 1: Determine the kinematic relations.
VIEWStep 2: Draw Free Body Diagrams (FBDs) and Kinetic Diagrams for all the three objects.
VIEWStep 3: Determine dynamics relations.
VIEWStep 4: b) Evaluate the acceleration of block.
VIEWStep 5: c) Evaluate angular acceleration and friction force on cylinder.
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