*PLEASE SOLVE #4*The system consists of a central object, B, suspended halfway between two pulleys by a string. The whole system is in equilibrium. The counterweight objects A and C, which have the same mass, allow you to determine the force exerted on the central object by the string.Draw a picture of the setup similar to the one in the Equipment section. Be sure to include symbols for the horizontal distance L, and the mass of object B and objects A and C. Label the angle that the string sags below the horizontal as theta () and the displacement of point P as “d”. Use trigonometry to show how the vertical displacement (d) of object B is related to the angle theta and the horizontal distance L.Draw separate free-body diagrams of the forces on objects A, B, and C. Is there a difference between the force on mass B and at point P? Assign symbols to all of the forces, and define what they represent next to your diagram. It is also useful to put the force vectors on a separate coordinate system for each object (force diagram). Remember that on a force diagram, the origin (tail) of all vectors is at the origin of the coordinate system.Since this is a static situation, what is the acceleration for each object? For each force diagram break all forces into their x and y components and write down Newton's 2nd law along each coordinate axis. Solve your equations for the vertical displacement (d) of object B in terms of the mass (M) of object B, the mass (m) of objects A and C, and the horizontal distance (L) between the pulleys. Your final equation should not depend on angles. Use your equation to sketch the shape of the graph of the vertical displacement (d) versus mass of object B. dP.ba

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Answered: Solve your equations for the vertical…

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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*PLEASE SOLVE #4*

The system consists of a central object, B, suspended halfway between two pulleys by a string. The whole system is in equilibrium. The counterweight objects A and C, which have the same mass, allow you to determine the force exerted on the central object by the string.

Draw a picture of the setup similar to the one in the Equipment section. Be sure to include symbols for the horizontal distance L, and the mass of object B and objects A and C. Label the angle that the string sags below the horizontal as theta () and the displacement of point P as “d”. Use trigonometry to show how the vertical displacement (d) of object B is related to the angle theta and the horizontal distance L.
Draw separate free-body diagrams of the forces on objects A, B, and C. Is there a difference between the force on mass B and at point P? Assign symbols to all of the forces, and define what they represent next to your diagram. It is also useful to put the force vectors on a separate coordinate system for each object (force diagram). Remember that on a force diagram, the origin (tail) of all vectors is at the origin of the coordinate system.
Since this is a static situation, what is the acceleration for each object? For each force diagram break all forces into their x and y components and write down Newton's 2nd law along each coordinate axis.
Solve your equations for the vertical displacement (d) of object B in terms of the mass (M) of object B, the mass (m) of objects A and C, and the horizontal distance (L) between the pulleys. Your final equation should not depend on angles.
Use your equation to sketch the shape of the graph of the vertical displacement (d) versus mass of object B.

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