This is a system consist of two blocks, masses 3M sits on a frictionless horizontal table top and connected to a spring of spring constant K and M (connected to 3M by a light, rigid string via a pulley and hanging vertically in the air. If M is released from rest at a position that the spring is un-stretched,  (a) Find the kinetic energy of the hanging mass M after it has fallen down a distance

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Chapter1: Units, Trigonometry. And Vectors
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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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This is a system consist of two blocks, masses 3M sits on a frictionless horizontal table top and connected to a spring of spring constant K and M (connected to 3M by a light, rigid string via a pulley and hanging vertically in the air. If M is released from rest at a position that the spring is un-stretched

(a) Find the kinetic energy of the hanging mass M after it has fallen down a distance h;

(b) When do blocks reach their maximum speed and what is that speed?

(c) What is the maximum displacement of the hanging block before it comes to a momentary stop?

### Description of the Diagram:

This diagram illustrates a mechanical system involving a spring, masses, and a pulley. It includes the following components:

1. **Masses:**
   - There is a mass labeled as \(3m\) on a horizontal surface to the left, connected to a spring.
   - A second mass, labeled as \(m_1\), is hanging vertically on the right.

2. **Spring:**
   - The spring is positioned at the left, attached to the mass \(3m\). 
   - It is noted as "spring unstretched," implying the spring is at its natural length without any tension or compression applied.

3. **Pulley:**
   - The pulley is drawn above the masses, indicating that it allows the mass \(m_1\) to hang vertically while connected to the mass \(3m\).

4. **System Notation:**
   - There is an indication that the system is composed of the two masses, \(m_1\) and \(3m\), written as "system = \(m_1 + m_2\)."

This mechanical setup is a typical physics problem concerning dynamics and equilibrium, where the interaction between the masses, pulleys, and spring forces is analyzed.
Transcribed Image Text:### Description of the Diagram: This diagram illustrates a mechanical system involving a spring, masses, and a pulley. It includes the following components: 1. **Masses:** - There is a mass labeled as \(3m\) on a horizontal surface to the left, connected to a spring. - A second mass, labeled as \(m_1\), is hanging vertically on the right. 2. **Spring:** - The spring is positioned at the left, attached to the mass \(3m\). - It is noted as "spring unstretched," implying the spring is at its natural length without any tension or compression applied. 3. **Pulley:** - The pulley is drawn above the masses, indicating that it allows the mass \(m_1\) to hang vertically while connected to the mass \(3m\). 4. **System Notation:** - There is an indication that the system is composed of the two masses, \(m_1\) and \(3m\), written as "system = \(m_1 + m_2\)." This mechanical setup is a typical physics problem concerning dynamics and equilibrium, where the interaction between the masses, pulleys, and spring forces is analyzed.
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