1. Draw a side view of the equipment. Draw the velocity and acceleration vectors of the weight. Add the tangential velocity and tangential acceleration vectors of the outer edge of the wheel. Also, show the angular acceleration of the wheel. What are the relationships among the acceleration of the string, the acceleration of the weight, and the tangential acceleration of the outer edge of the wheel if the string is taut?

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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1. Draw a side view of the equipment. Draw the velocity and acceleration vectors of the weight. Add the tangential
velocity and tangential acceleration vectors of the outer edge of the wheel. Also, show the angular acceleration of
the wheel. What are the relationships among the acceleration of the string, the acceleration of the weight, and the
tangential acceleration of the outer edge of the wheel if the string is taut?
2. To relate the moment of inertia of the system to the acceleration of the weight, you need to consider a dynamics
approach (Newton's second law) especially considering the torques exerted on the system. The relationships
between rotational and linear kinematics will also be involved.
3. Draw a free-body diagram for the wheel system. Show the locations of the forces acting on that system. Label all
the forces. Does this system accelerate? Is there an angular acceleration? Check to see if you have all the forces on
your diagram. Which of these forces can exert a torque on the system? Identify the distance from the axis of
rotation to the point where each force is exerted on the system. Write down an equation that gives the torque in
terms of the distance and the force that causes it. Write down Newton's second law in its rotational form for this
system. Remember that the moment of inertia includes everything in the system that will rotate.
4. Draw a free-body diagram for the hanging weight. Label all the forces acting on it. Does this weight accelerate? Is
there an angular acceleration? Check to see if you have included all the forces on your diagram. Write down
Newton's second law for the hanging weight. Is the force of the string on the hanging weight equal to the weight of
the hanging weight?
Transcribed Image Text:1. Draw a side view of the equipment. Draw the velocity and acceleration vectors of the weight. Add the tangential velocity and tangential acceleration vectors of the outer edge of the wheel. Also, show the angular acceleration of the wheel. What are the relationships among the acceleration of the string, the acceleration of the weight, and the tangential acceleration of the outer edge of the wheel if the string is taut? 2. To relate the moment of inertia of the system to the acceleration of the weight, you need to consider a dynamics approach (Newton's second law) especially considering the torques exerted on the system. The relationships between rotational and linear kinematics will also be involved. 3. Draw a free-body diagram for the wheel system. Show the locations of the forces acting on that system. Label all the forces. Does this system accelerate? Is there an angular acceleration? Check to see if you have all the forces on your diagram. Which of these forces can exert a torque on the system? Identify the distance from the axis of rotation to the point where each force is exerted on the system. Write down an equation that gives the torque in terms of the distance and the force that causes it. Write down Newton's second law in its rotational form for this system. Remember that the moment of inertia includes everything in the system that will rotate. 4. Draw a free-body diagram for the hanging weight. Label all the forces acting on it. Does this weight accelerate? Is there an angular acceleration? Check to see if you have included all the forces on your diagram. Write down Newton's second law for the hanging weight. Is the force of the string on the hanging weight equal to the weight of the hanging weight?
ring
pulley
disk
3-stage spool
- axle
string:
A-frame base
table clamp
mass set
Transcribed Image Text:ring pulley disk 3-stage spool - axle string: A-frame base table clamp mass set
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