Let: m¡m2 m = m¡ + 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: dx m = -kx dr2 Calculate the angular frequency w (in rad/s) with these numbers: • k = 3400 N/m = 3400 kg/s² %3D • m1 = 24 kg • m2 = 49 kg %3D %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:
m¡m2
m =
m¡ + 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:
dx
= -kx
m
dt2
Calculate the angular frequency w (in rad/s) with these numbers:
• k = 3400 N/m = 3400 kg/s²
• m1 = 24 kg
• m2 = 49 kg
Transcribed Image Text:Let: m¡m2 m = m¡ + 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: dx = -kx m dt2 Calculate the angular frequency w (in rad/s) with these numbers: • k = 3400 N/m = 3400 kg/s² • m1 = 24 kg • m2 = 49 kg
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