Block X of mass M is attached to block Y of mass 2M by a light string that passes over a pulley of negligible friction and mass, as shown above. In which direction will the center of mass (COM) of the two-block system move after it is released from rest, and what is the magnitude of the acceleration a of block X ? The image depicts a physics setup commonly used to illustrate concepts in mechanics, specifically involving pulleys and forces. - The system shows two blocks connected by a string over a pulley. - Block X, with a mass \(M\), is placed on a horizontal surface, showing no indication of friction.- Block Y, with a mass \(2M\), is suspended vertically.- The pulley is depicted as a simple machine that changes the direction of the tension in the string connecting the two masses.In this setup, block Y will experience gravitational force causing it to accelerate downwards. This will, in turn, cause block X to accelerate horizontally across the surface. The difference in mass between the two blocks will affect their acceleration and the tension in the string. This scenario can be used to explore Newton's laws of motion, particularly in determining the acceleration of the system and the tension in the string. Certainly! Here's a transcription of the table along with a detailed explanation:---### Motion AnalysisThe table below provides possible outcomes related to the motion and acceleration of an object in a specific context.#### Outcomes- **Option A** - **(COM):** Down and to the right - **Acceleration (a):** \(\frac{2g}{3}\)- **Option B** - **(COM):** Remain at rest - **Acceleration (a):** \(\frac{2g}{3}\)- **Option C** (Highlighted) - **(COM):** Down and to the right - **Acceleration (a):** \(\frac{3g}{2}\)- **Option D** - **(COM):** Remain at rest - **Acceleration (a):** \(\frac{3g}{2}\)---### Explanation- **(COM):** Refers to the Center of Mass movement of the object.- **Acceleration (a):** Represents the object's acceleration, expressed in terms of gravitational acceleration \(g\).Each option presents a different scenario of movement and rest, helping to understand the relationship between force and motion. The highlighted option, C, indicates a more significant acceleration value compared to others, combined with a specified direction of motion.

Name: Block X of mass M is attached to block Y of mass 2M by a light string
Uploaded: 2024-03-20T06:57:57.000Z
Channel: Bartleby
Description: Block X of mass M is attached to block Y of mass 2M by a light string that passes over a pulley of negligible friction and mass, as shown above. In which direction will the center of mass (COM) of the two-block system move after it is released from r