A homogeneous rod AB, of mass m and length 2a, hangs in a thread from a fixed point O. The thread is unstretchable and massless and of length da. See figure. The distance AC is 2a/3. The rod performs small oscillations in a vertical plane containing O. Determine lambda such that AB perpetually forms an angle with the vertical twice as big as OC does, if the system is started suitably.Treat the rod as one-dimensional, and assume that it never collides with the thread.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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A homogeneous rod AB, of mass m and length 2a,
hangs in a thread from a fixed
point O. The thread is unstretchable and massless
and of length da. See figure. The distance AC is 2a/3.
The rod performs small oscillations in a vertical plane
containing O. Determine lambda such that AB
perpetually forms an angle with the vertical twice as
big as OC does, if the system is started suitably.Treat
the rod as one-dimensional, and assume that it never
collides with the thread.
2a
В
Transcribed Image Text:A homogeneous rod AB, of mass m and length 2a, hangs in a thread from a fixed point O. The thread is unstretchable and massless and of length da. See figure. The distance AC is 2a/3. The rod performs small oscillations in a vertical plane containing O. Determine lambda such that AB perpetually forms an angle with the vertical twice as big as OC does, if the system is started suitably.Treat the rod as one-dimensional, and assume that it never collides with the thread. 2a В
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