Let: m¡m2 m = mị + m2 x = 12 – X1 – l Then x behaves like the position of a single particle (mass m) attached to a fixed spring (attached to a wall) with the same spring constant k: d'r -kx dt2 Calculate the angular frequency w (in rad/s) with these numbers: • k = 5100 N/m = 5100 kg/s² • m1 = 30 kg • m2 = 25 kg

Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter8: Central-force Motion
Section: Chapter Questions
Problem 8.45P
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Calculate the angular frequency ω (in rad/s) with these numbers:

  • k = 5100 N/m = 5100 kg/s2
  • m1 = 30 kg
  • m2 = 25 kg
Let:
m =
m1 + m2
x = x2 – x1 –l
Then x behaves like the position of a single particle (mass m) attached to a fixed spring (attached to a
wall) with the same spring constant k:
d'r
m
-kx
dt2
Calculate the angular frequency w (in rad/s) with these numbers:
• k = 5100 N/m = 5100 kg/s?
• m1 = 30 kg
• m2 = 25 kg
Transcribed Image Text:Let: m = m1 + m2 x = x2 – x1 –l Then x behaves like the position of a single particle (mass m) attached to a fixed spring (attached to a wall) with the same spring constant k: d'r m -kx dt2 Calculate the angular frequency w (in rad/s) with these numbers: • k = 5100 N/m = 5100 kg/s? • m1 = 30 kg • m2 = 25 kg
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