Calculate angular velocities and alpha values?

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SUMMARY

The discussion focuses on calculating angular velocities and the alpha angle for a lightweight bar with two small spheres at its ends, pivoting around a point O located at L/3. The initial condition is a vertical bar that begins to rotate due to an impact. Key calculations involve determining the moment of inertia of the bar and the potential energy changes as the spheres fall and rise, respectively. The specific forces acting on the sphere m1, which is 1.8 times its weight, are crucial for calculating the alpha angle when it separates from the bar.

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Homework Statement


A lightweight bar, stiff stick of length L, at either end are two small spheres of mass ##m_{1} = m_{2} = m##. Bar may turn in vertical horizontal axis passing through point O on the way its a bar ##\frac{L}{3}##. At first, the bar is vertical. Due to a slight impact, the loss of balance and start axis through O. Skip any friction.

Homework Equations


a) Calculate angular velocities of the bar when it is vertical with an angle alpha?

b) Know that when the force effects the globe by acting on the ##m_{1}##, with 1,8 times its weight when he began breaking away from the bar. Calculate the alpha angle for the time ball of ##m_{1}## separated from the bar?

The Attempt at a Solution


Please explain for me carefully, thank and sorry my bad English

Here image of this
AqcXA.png
 
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datanhlg said:
point O on the way its a bar ##\frac{L}{3}##.
Could you please rephrase.
 
Assuming by
datanhlg said:
point O on the way its a bar ##\frac{L}{3}##.
you mean its fixed at ##\frac{L}{3}##
First i think you might need to find the moment of inertia of the rod, do that then
find the vertical height through which the ##m_1~and~m_2##fall through and move up respectively. find the total loss in potential energy.
 
Last edited:

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