How to calculate motion of object pushed by force?

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SUMMARY

The discussion focuses on calculating the motion of an object when a force is applied off its center of mass. It confirms that the center of mass will still follow a trajectory determined by F=ma, while the object will also rotate around its center of mass due to the applied torque. Key concepts such as angular velocity, angular acceleration, rotational moment of inertia, and torque are essential for understanding these dynamics. The participants agree that both translational and rotational motions can be analyzed using these principles.

PREREQUISITES
  • Understanding of Newton's Second Law (F=ma)
  • Basic knowledge of torque and its effects on rotational motion
  • Familiarity with angular velocity and angular acceleration
  • Concept of rotational moment of inertia
NEXT STEPS
  • Study the principles of torque and its calculation
  • Learn about angular momentum and its conservation
  • Explore the equations of motion for rigid bodies
  • Investigate the relationship between translational and rotational dynamics
USEFUL FOR

Physics students, mechanical engineers, and anyone interested in understanding the dynamics of objects under applied forces, particularly in non-central force scenarios.

lemd
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Hi

I know F=ma is applied when force pushes through object's center of mass. But in case force does not go through center of mass, how will the object react? I think object will rotate a little but don't know how to calculate things such as rotation and translation speed like the case with F=ma. I tried to google but can't find a simple generic answer.

Can someone show me how to calculate such things?

Thanks
 
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lemd said:
Hi

I know F=ma is applied when force pushes through object's center of mass. But in case force does not go through center of mass, how will the object react? I think object will rotate a little but don't know how to calculate things such as rotation and translation speed like the case with F=ma. I tried to google but can't find a simple generic answer.

Can someone show me how to calculate such things?

Thanks

When you have progressed a little further, you will learn about angular velocity, angular acceleration, rotational moment of inertia, and torque. This will give you what you want.
 
actuallyy a force exerted like that ( i mean in a particular angle or direction). is know as torque and is different from actual force! :D ...
i think it is clear if learn more about equilibruim both roataional and transilational ! :D ..
 
Thanks

I remember I learned things like that a long time ago. Problem is physics is not my profession and so English is not my language when I learned them. I just want some short answers because I already tried google.

So here are something I found but can't confirm they are true or not. When a random force applied:
1/ Center of mass of object still moves in a trajectory like in the the case the force is applied in center of mass and can be calculated by F=ma. Is it true?
2/ Object will rotate around center of mass. But I can't find a formula to calculate it. My guess is that object rotation is the same as when it is locked by a pivot at the center of mass. Is it true? If these two are true then I can calculate motion by a random force
 
lemd said:
Thanks

I remember I learned things like that a long time ago. Problem is physics is not my profession and so English is not my language when I learned them. I just want some short answers because I already tried google.

So here are something I found but can't confirm they are true or not. When a random force applied:
1/ Center of mass of object still moves in a trajectory like in the the case the force is applied in center of mass and can be calculated by F=ma. Is it true?
2/ Object will rotate around center of mass. But I can't find a formula to calculate it. My guess is that object rotation is the same as when it is locked by a pivot at the center of mass. Is it true? If these two are true then I can calculate motion by a random force
Yes and Yes.
 

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