A 500 g block is attached to 2 kg block via a string passing over two lightweight frictionless pulleys. The coefficient of kinetic friction between each block's surface and the ramps is 0.1. 1. Just after the blocks are released from rest and begin to move, what is the magnitude of acceleration in the system? 2. Suppose that the lightweight pulleys are replaced with new pulleys with appreciable mass; one being a 400 g thin ring with a 1 cm radius and the other being a 600g solid disk with a 2 cm radius. What is the new magnitude of acceleration in the system? 50g 20° 2kg 20°

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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**Physics Problem: Understanding Friction and Pulleys**

*A 500 g block is attached to a 2 kg block via a string passing over two lightweight frictionless pulleys. The coefficient of kinetic friction between each block's surface and the ramps is 0.1.*

### Questions:
1. Just after the blocks are released from rest and begin to move, what is the magnitude of acceleration in the system?
2. Suppose that the lightweight pulleys are replaced with new pulleys with appreciable mass; one being a 400 g thin ring with a 1 cm radius and the other being a 600 g solid disk with a 2 cm radius. What is the new magnitude of acceleration in the system?

### Diagrams:
The diagram depicts two ramps, each inclined at 20 degrees. 

#### Top Ramp:
- A block labeled "500g" is placed on the ramp.
- The ramp is inclined at an angle of 20 degrees.
- The block is connected to a string passing over a frictionless pulley.

#### Bottom Ramp:
- A block labeled "2 kg" is placed on the ramp.
- The ramp is inclined at an angle of 20 degrees.
- The block is connected to the other end of the string, also passing over a frictionless pulley.

These components form a simple system to analyze the motion and acceleration of the blocks under the influence of gravity, friction, and tension in the string, considering both massless and massive pulleys.
Transcribed Image Text:**Physics Problem: Understanding Friction and Pulleys** *A 500 g block is attached to a 2 kg block via a string passing over two lightweight frictionless pulleys. The coefficient of kinetic friction between each block's surface and the ramps is 0.1.* ### Questions: 1. Just after the blocks are released from rest and begin to move, what is the magnitude of acceleration in the system? 2. Suppose that the lightweight pulleys are replaced with new pulleys with appreciable mass; one being a 400 g thin ring with a 1 cm radius and the other being a 600 g solid disk with a 2 cm radius. What is the new magnitude of acceleration in the system? ### Diagrams: The diagram depicts two ramps, each inclined at 20 degrees. #### Top Ramp: - A block labeled "500g" is placed on the ramp. - The ramp is inclined at an angle of 20 degrees. - The block is connected to a string passing over a frictionless pulley. #### Bottom Ramp: - A block labeled "2 kg" is placed on the ramp. - The ramp is inclined at an angle of 20 degrees. - The block is connected to the other end of the string, also passing over a frictionless pulley. These components form a simple system to analyze the motion and acceleration of the blocks under the influence of gravity, friction, and tension in the string, considering both massless and massive pulleys.
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