Answer:
![\omega=\sqrt{\omega_0^2(\frac{M+m}{M})}](https://tex.z-dn.net/?f=%5Comega%3D%5Csqrt%7B%5Comega_0%5E2%28%5Cfrac%7BM%2Bm%7D%7BM%7D%29%7D)
Explanation:
The rotational kinetic energy when the cylinder is with the rope is:
![E_k=\frac{1}{2}I_c\omega_0^2+\frac{1}{2}I_r\omega_0^2](https://tex.z-dn.net/?f=E_k%3D%5Cfrac%7B1%7D%7B2%7DI_c%5Comega_0%5E2%2B%5Cfrac%7B1%7D%7B2%7DI_r%5Comega_0%5E2)
where we used the fact that both rope and cylinder hast the same w. This E_k must conserve, that is, E_k must equal E_k when the rope leaves the cylinder. Hence, the final w is given by:
(1)
For Ic and Ir we can assume that the rope is a ring of the same radius of the cylinder. Then, we have:
![I_c=\frac{1}{2}MR^2\\\\I_r=mR^2](https://tex.z-dn.net/?f=I_c%3D%5Cfrac%7B1%7D%7B2%7DMR%5E2%5C%5C%5C%5CI_r%3DmR%5E2)
Finally, by replacing in (1):
![\omega=\sqrt{\omega_0^2(\frac{M+m}{M})}](https://tex.z-dn.net/?f=%5Comega%3D%5Csqrt%7B%5Comega_0%5E2%28%5Cfrac%7BM%2Bm%7D%7BM%7D%29%7D)
hope this helps!!
The planet Mercury. Hope this helps
Answer:
meteorite is a piece of interplanetary debris that lives its fiery drops during a through the earth's atmosphere and strikes the surface of the earth.
Explanation:
the meteorites which are most useful for the determination of the age of the solar system are the primitive meteorites. they consist light of colored or grey silicates mixed with metallic grains. the parent bodies of these meteorites are also mostly believed to be pieces asteriods left after they formed in the solar system.