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Problem The system consists of the homogenous drum of weight 20 and radius r, which is free to rotate about its geometric axis. The flexible but inextensible cord overhanging the drum is attached to the springs of constants k and 3k. Assuming that the cord cannot slip on the drum find equation of motion, and natural frequency of the system. Use method of Lagrange's equations of second kind. Given: Q[N], r, k 3k 2Q, r

Problem The system consists of the homogenous drum of weight 20 and radius r, which is free to rotate about its geometric axis. The flexible but inextensible cord overhanging the drum is attached to the springs of constants k and 3k. Assuming that the cord cannot slip on the drum find equation of motion, and natural frequency of the system. Use method of Lagrange's equations of second kind. Given: Q[N], r, k 3k 2Q, r

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Problem The system consists of the homogenous drum of weight 2Q and radius r, which is free to rotate about its geometric axis. The flexible but inextensible cord overhanging the drum is attached to the springs of constants k and 3k. Assuming that the cord cannot slip on the drum find equation of motion, and natural frequency of the system. Use method of Lagrange's equations of second kind. Given: Q[N], r, k 3k 2Q, r k
Transcribed Image Text:Problem The system consists of the homogenous drum of weight 2Q and radius r, which is free to rotate about its geometric axis. The flexible but inextensible cord overhanging the drum is attached to the springs of constants k and 3k. Assuming that the cord cannot slip on the drum find equation of motion, and natural frequency of the system. Use method of Lagrange's equations of second kind. Given: Q[N], r, k 3k 2Q, r k
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