6.2. Two falling sticks ** Two massless sticks of length 2r, each with a mass m fixed at its middle, are hinged at an end. One stands on top of the other, as shown in Fig. 6.9. The bottom end of the lower stick is hinged at the ground. They are held such that the lower stick is vertical, and the upper one is tilted at a small angle with respect to the vertical. They are then released. At this instant, what are the angular accelerations of the two sticks? Work in the approximation where is very small.

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Introduction to Classical Dynamics The Lagrangian Method Please I need a complete solution of this, thank you.
Fig. 6.9
m
m
r
E
Transcribed Image Text:Fig. 6.9 m m r E
6.2. Two falling sticks **
Two massless sticks of length 2r, each with a mass m fixed at its middle,
are hinged at an end. One stands on top of the other, as shown in Fig. 6.9.
The bottom end of the lower stick is hinged at the ground. They are held
such that the lower stick is vertical, and the upper one is tilted at a
small angle with respect to the vertical. They are then released. At this
instant, what are the angular accelerations of the two sticks? Work in
the approximation where is very small.
Transcribed Image Text:6.2. Two falling sticks ** Two massless sticks of length 2r, each with a mass m fixed at its middle, are hinged at an end. One stands on top of the other, as shown in Fig. 6.9. The bottom end of the lower stick is hinged at the ground. They are held such that the lower stick is vertical, and the upper one is tilted at a small angle with respect to the vertical. They are then released. At this instant, what are the angular accelerations of the two sticks? Work in the approximation where is very small.
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