Answer:
I = I₀ + M(L/2)²
Explanation:
Given that the moment of inertia of a thin uniform rod of mass M and length L about an Axis perpendicular to the rod through its Centre is I₀.
The parallel axis theorem for moment of inertia states that the moment of inertia of a body about an axis passing through the centre of mass is equal to the sum of the moment of inertia of the body about an axis passing through the centre of mass and the product of mass and the square of the distance between the two axes.
The moment of inertia of the body about an axis passing through the centre of mass is given to be I₀
The distance between the two axes is L/2 (total length of the rod divided by 2
From the parallel axis theorem we have
I = I₀ + M(L/2)²
Answer:
Explanation:
We can use the conservation of the angular momentum.
![L=mvR](https://tex.z-dn.net/?f=L%3DmvR)
![I\omega=mvR](https://tex.z-dn.net/?f=I%5Comega%3DmvR)
Now the Inertia is I(professor_stool) plus mR², that is the momentum inertia of a hoop about central axis.
So we will have:
![(I_{proffesor - stool}+mR^{2})\omega=mvR](https://tex.z-dn.net/?f=%28I_%7Bproffesor%20-%20stool%7D%2BmR%5E%7B2%7D%29%5Comega%3DmvR)
Now, we just need to solve it for ω.
![\omega=\frac{mvR}{I_{proffesor-stool}+mR^{2}}](https://tex.z-dn.net/?f=%5Comega%3D%5Cfrac%7BmvR%7D%7BI_%7Bproffesor-stool%7D%2BmR%5E%7B2%7D%7D)
I hope it helps you!
Answer:
yes
Explanation:
objects with constant velocity also have zero net external force. this means the forces on the object are balanced. this mean they are in equilibrium
Answer:
it moves 25 inches.
Explanation:
the east west bit isn't important, ignore it. if an ant starts at 6 then moves to 19 then we need to subtract 19 from 6, that's 13. then it moves to 7. the difference between 19 and 7 is 12. add that to 13 and you get 25. it's important to remember that there is no such thing as negative distance. if it moved, then it counts.