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Mathematics 15 Online
OpenStudy (tylerd):

Physics help needed

OpenStudy (tylerd):

OpenStudy (tylerd):

i got the answer but have no clue how to solve it.

OpenStudy (tylerd):

tried using conservation of momentum and conservation of energy, get 2 equations, 3 unknowns.

OpenStudy (tylerd):

I think were assuming the rod can rotate around its center

OpenStudy (tylerd):

i think we know that 1/2mV^2=1/4ML^2w^2 mvL/4=1/12ML^2w

ganeshie8 (ganeshie8):

the kinetic energy of spherical ball gets split into rotational kinter energy, and translational kinetic energy of the bar, right ?

OpenStudy (tylerd):

yes

OpenStudy (tylerd):

i think its only rotational in this case

OpenStudy (tylerd):

the bar is fixed

ganeshie8 (ganeshie8):

\[\dfrac{1}{2}mv^2 = \dfrac{1}{2}{mv_{cm}}^2 + \dfrac{1}{2}I\omega^2\]

ganeshie8 (ganeshie8):

Oh how do you know the bar is fixed ? that isn't mentioned in the question ?

OpenStudy (tylerd):

there would be no way to do the problem if it wasnt fixed.

OpenStudy (tylerd):

\[m_bv_b(\frac{ L }{ 4 })=\frac{ 1 }{ 12 }m_rL^2w\]

OpenStudy (tylerd):

\[m_bV_b^2=\frac{ 1 }{ 12 }m_rL^2w^2\]

OpenStudy (tylerd):

\[\frac{ m_b }{ m_r }=\frac{ Lw }{ 3V_b }\]

OpenStudy (tylerd):

im running out of time guys.

ganeshie8 (ganeshie8):

try @ParthKohli or @Michele_Laino

OpenStudy (dan815):

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