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3 years ago

What position will have the smallest magnitude of vertical velocity?

Physics

1 answer:

rosijanka [135]3 years ago

7 0

-- The magnitude of acceleration is the same at all the positions.
It's 9.8 meters per second-squared downward if this is all happening
on Earth.

-- The smallest magnitude of vertical velocity has to be at the top ... point-B.
In order to change from moving up to moving down, there has to be an instant
when the vertical velocity is zero, and it can't get any smaller than that.

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Answer:

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Explanation:

L = Length of meter stick = 1 m = 100 cm

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Moment of inertia of the system is given by

$I=I_c+mr^2\\\Rightarrow I=\frac{mL^2}{12}+mr^2\\\Rightarrow I=\frac{m1^2}{12}+m0.28^2\\\Rightarrow I=m(\frac{1}{12}+0.0784)$

As the energy in the system is conserved

$mgh=I\frac{\omega^2}{2}\\\Rightarrow mgh=m(\frac{1}{12}+0.0784)\frac{\omega^2}{2}\\\Rightarrow gh=(\frac{1}{12}+0.0784)\frac{\omega^2}{2}\\\Rightarrow \omega=\sqrt{\frac{2gh}{\frac{1}{12}+0.0784}}\\\Rightarrow \omega=\sqrt{\frac{2\times 9.81\times 0.28}{\frac{1}{12}+0.0784}}\\\Rightarrow \omega=5.82812\ rad/s$

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