How to calculate motion of object pushed by force?

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When a force is applied off-center to an object, it causes both translational motion of the center of mass and rotational motion around that center. The translational motion can still be calculated using F=ma, while the rotation can be analyzed using concepts like torque, angular velocity, and moment of inertia. The object will rotate around its center of mass, similar to how it would if it were pivoted at that point. Understanding these principles allows for the calculation of motion resulting from an off-center force. Mastery of these concepts is essential for accurately predicting the behavior of objects under such conditions.
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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