If the free end of the pulley rope is pulled down with an acceleration of 4 ft/s2, what will the acceleration of m be? Draw a free body diagram for the block m and the pulley. Assume that all the straight rope segments are vertical. The image depicts a mechanical system known as an Atwood machine, which is a basic example of a pulley system used to study principles of dynamics and kinematics. The setup includes the following components:- **Fixed Pulley:** The top pulley is fixed to a support structure. It has a string looped over it, allowing it to change the direction of the tension force without affecting the system's dynamics.- **Movable Pulley:** Below the fixed pulley, there is a movable pulley connected to the mass via a string. This pulley moves with the mass, effectively reducing the force required to lift the weight.- **Mass (m):** A weight labeled "m" is attached to the movable pulley. This mass experiences the gravitational force downward and is the subject of analysis when studying the system's acceleration or tension forces.### Explanation of the System:- The pulleys and strings create a mechanical advantage, distributing the force needed to lift the mass. - The use of a movable pulley indicates that the force necessary to lift the mass is reduced, which can be calculated using principles of equilibrium and Newton's laws.- This setup is commonly used to explore concepts like tension, acceleration, and forces in a system with multiple pulleys.### Educational Importance:Studying this system helps students understand the relationship between force, mass, and acceleration, and offers a practical application of Newton's Second Law of Motion. It also illustrates how pulleys can be used to gain a mechanical advantage in lifting objects.

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Answered: If the free end of the pulley rope is…

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