**Select the correct FBD for the pulleys.** Let \( s \) be the stretch in the springs and \( T \) be the tension in the rope.---**Find the correct equation(s) of motion.**(Note: FBD stands for Free Body Diagram. This text likely accompanies a diagram showing forces involved in a pulley system, illustrating the relationships between spring stretch and rope tension.) **Title: Degrees of Freedom in a Mechanical Pulley System****Introduction**Consider the system shown below. Answer Questions 6-11 based on this figure.**Main Question**- How many degrees-of-freedom does the system shown below have? The two pulleys have identical mass, radius, and moment of inertia.**Diagram Description**The diagram displays a mechanical pulley system consisting of a fixed and a moving pulley. Both pulleys have mass \( m \), radius \( R \), and moment of inertia \( I \). A spring with stiffness \( k \) is attached to a wall, and a cable runs over the pulleys, connecting them. The position and rotation of the pulleys are indicated as follows:- \( x \): Vertical position of the moving pulley- \( \theta \): Rotation of the moving pulley- \( \phi \): Rotation of the fixed pulley**Variables**- \( x \): Vertical position of the moving pulley- \( \theta \): Rotation of the moving pulley- \( \phi \): Rotation of the fixed pulley- \( m \): Pulley mass- \( R \): Pulley radius- \( I \): Moment of the pulley about its own center of mass- \( k \): Spring stiffness- \( T \): Cable tension**Assumptions**1. \( x = 0 \), \( \theta = 0 \), and \( \phi = 0 \) when the spring is undeformed.2. The cables and springs have negligible mass.3. There is no slip between the pulley and the cable.4. Only two-dimensional planar motion is allowed.**Explanation**The diagram and accompanying variables illustrate the function and constraints of a mechanical system with two pulleys and a spring. The system's behavior is determined by understanding the degrees of freedom, the variables involved, and the assumptions grounding its analysis.

Data given- Assumptions 1. x = 0, θ = 0, and Φ= 0 when the spring is undeformed 2. The cables and…

Answered: How many degrees-of-freedom does the…

How many degrees-of-freedom does the system shown below has? The two pulleys have the identical mass, radius, and the moment of inertia.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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