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- Homework Statement
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- Relevant Equations
- ##\Sigma \tau_o=I \alpha##
Hi
I've been taught that any force not going through the centre of mass will create torque.
Consider a rod of length ##L## and negligible mass, with two balls of mass ##m## attached to its ends. Its centre of mass is at ##\frac{L}{2}##.
I have two questions:
1) If a force ##F## is applied to the centre of mass and we consider the centre of mass as the origin, the torque will be zero. But what if consider the point ##O## as origin. Now, that force will create a torque ##\tau =-F \frac{L}{2}## and so it will rotate because of the angular acceleration. But we're considering the same force at the same point. Shouldn't we get that the rod will not rotate?
2) is there any point of the rod that, if applied a force to it, will cause the rod to rotate but not to translate?
I've been taught that any force not going through the centre of mass will create torque.
Consider a rod of length ##L## and negligible mass, with two balls of mass ##m## attached to its ends. Its centre of mass is at ##\frac{L}{2}##.
I have two questions:
1) If a force ##F## is applied to the centre of mass and we consider the centre of mass as the origin, the torque will be zero. But what if consider the point ##O## as origin. Now, that force will create a torque ##\tau =-F \frac{L}{2}## and so it will rotate because of the angular acceleration. But we're considering the same force at the same point. Shouldn't we get that the rod will not rotate?
2) is there any point of the rod that, if applied a force to it, will cause the rod to rotate but not to translate?