Let: m¡m2 m = mị + m2 x = x2 – x1 - t 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: dx m -kx dr2 Calculate the angular frequency w (in rad/s) with these numbers: • k = 6800 N/m = 6800 kg/s² • m1 = 34 kg • m2 = 16 kg %3D

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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Let:
mị m2
m =
mị + m2
x = x2 – x1 -t
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:
dx
m
-kx
dr2
Calculate the angular frequency w (in rad/s) with these numbers:
• k = 6800 N/m = 6800 kg/s?
• m1 = 34 kg
• m2 = 16 kg
25
Transcribed Image Text:Let: mị m2 m = mị + m2 x = x2 – x1 -t 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: dx m -kx dr2 Calculate the angular frequency w (in rad/s) with these numbers: • k = 6800 N/m = 6800 kg/s? • m1 = 34 kg • m2 = 16 kg 25
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