5) Three blocks with masses 4M, 2M, and 8M are connected as shown in the figure below. Thetensions in the ropes are T1 and T2. In terms of M, g, and  , obtain expressions for: (a) the acceleration;(b) ? 1− ?2. Ignore friction. **Physics Problem Flow Chart**1. **Draw a picture** - Label which directions are positive (x- and y-), and label relevant quantities on the diagram.2. **Draw a second picture...** - If you have BEFORE/AFTER situations, force additions, vector component diagrams.3. **Identify explicitly given values** - Write all given actual numbers in terms of variables. For previously calculated values, use values before rounding for significant figures.4. **Identify implicitly given values** - Wording that implies specific values: e.g., “at rest”, “comes to a stop”, “dropped”, “smooth surface”, “constant velocity”.5. **Identify required quantity and type of problem** - Look for keywords like “when”, “how far”, “how fast”, etc. Get type of problem from quantities given/sought.6. **Calculate/convert easily derived quantities** - For example, the x- and y-components of velocity/force vectors, or the force of gravity given the mass.7. **Find relevant equation(s)** - One that links the given quantities to the quantity you need to find.8. **Find a second equation...** - If you’re missing a quantity needed to use an equation. Draw up a plan on how to link the equations and quantities.9. **Solve for the quantity without using numbers** - First cancel any quantities that are zero. Use algebra to isolate the quantity you need on one side of the equals sign. Check with dimensional analysis.10. **Sub in numbers on paper** - Make sure units of each number are correct before you substitute in values into the equations.11. **Use calculator to find value** - Use as few presses of the “=” or “ENTER” button as possible. Keep extra significant figures until next step.12. **Write a conclusion statement with correct significant figures** - In plain English with correct units. **Problem Statement:**Three blocks with masses \(4M\), \(2M\), and \(8M\) are connected as shown in the figure below. The tensions in the ropes are \(T_1\) and \(T_2\). In terms of \(M\), \(g\), and \(\theta\), obtain expressions for:(a) the acceleration;(b) \(T_1 - T_2\). Ignore friction.**Diagram Description:**There is an inclined plane with angle \(\theta\) to the horizontal. The block of mass \(4M\) sits on the inclined plane and is connected by a rope to another block of mass \(2M\) that is also on the plane. The rope between \(4M\) and \(2M\) shows tension \(T_2\).The block with mass \(2M\) is connected over a pulley to a block of mass \(8M\) hanging vertically. The rope between the \(2M\) block and the \(8M\) block is labeled with tension \(T_1\).Study this physical setup considering the forces and tension interactions; derive the expressions for acceleration and the tension difference requested. Note the simplification that friction is ignored in this system.

Name: 5) Three blocks with masses 4M, 2M, and 8M are connected as shown in t
Uploaded: 2024-03-20T06:57:57.000Z
Channel: Bartleby
Description: 5) Three blocks with masses 4M, 2M, and 8M are connected as shown in the figure below. Thetensions in the ropes are T1 and T2. In terms of M, g, and  , obtain expressions for: (a) the acceleration;(b) ? 1− ?2. Ignore friction. **Physics Problem Flow