Questions $23-25$

Two masses are attached to opposite ends of a thin L$-$long horizontal rod. The system is rotating at angular speed $$ about a vertical axle at the center of the rod. If we increase the angular speed two times larger than the current system:

$23.$ What will be the fraction of kinetic energy between two systems?

$($a$)1$

$($b$)\frac{1}{4}$

$($c$)\frac{1}{2}$

$($d$)2$

$($e$)4$

If we shift the vertical axle to the middle between $m_A$ and the center of the rod:

$24.$ What will be the mass ratio $(\frac{m_A}{m_B})$ to get an equal net force between two masses?

$($a$)\frac{1}{3}$

$($b$)\frac{3}{2}$

$($c$)1$

$($d$)3$

$($e$)\frac{2}{3}$

Now assuming that axle passes through the center$-$of$-$mass $($CM$)$ of the system:

$25.$ Determine the kinetic energy with $m_A=4\mathrm{.}0kg$ and $m_B=3\mathrm{.}0kg,$ the length of the rod $14$ cm and angular speed $=2ra\frac{d}{s}.$

$($a$)0\mathrm{.}48$ J

$($b$)0\mathrm{.}96$ J

$($c$)1\mathrm{.}92$ J

$($d$)0\mathrm{.}16$ J

$($e$)0\mathrm{.}32$