A coupled pendulum system is in a vertical plane (as shown in the fig. 2). Each rod is ot mass m and length I and can freely oscillate about the point of suspension. The spring is attached at a length d from the points of suspensions. Write the equation of motion for both the rods and find the frequencies of normal modes. Find out the ratios of amplitudes of the two oscillators for exciting the normal modes. d k
A coupled pendulum system is in a vertical plane (as shown in the fig. 2). Each rod is ot mass m and length I and can freely oscillate about the point of suspension. The spring is attached at a length d from the points of suspensions. Write the equation of motion for both the rods and find the frequencies of normal modes. Find out the ratios of amplitudes of the two oscillators for exciting the normal modes. d k
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![A coupled pendulum system is in a vertical plane (as shown in the fig. 2). Each rod is of
mass m and length I and can freely oscillate about the point of suspension. The spring is
attached at a length d from the points of suspensions. Write the equation of motion for both
the rods and find the frequencies of normal modes. Find out the ratios of amplitudes of the
two oscillators for exciting the normal modes.
d
k
Fig. 2](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F703e83f4-5888-4bf3-8ccc-8a0abf2bbed1%2Fdd639b51-0624-4301-ba43-e38f0cd22389%2Fbhmqd6k_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A coupled pendulum system is in a vertical plane (as shown in the fig. 2). Each rod is of
mass m and length I and can freely oscillate about the point of suspension. The spring is
attached at a length d from the points of suspensions. Write the equation of motion for both
the rods and find the frequencies of normal modes. Find out the ratios of amplitudes of the
two oscillators for exciting the normal modes.
d
k
Fig. 2
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