Each problem requires a proper FBD and separate kinematic diagram. 1. A long cord of length L and negligible mass is wrapped around a spool with mass m, radius R and radius of gyration about its center ko and released from rest. In terms of given variables and the accleration due to gravity g, find a. the horizontal acceleration of the spool. b. the downward accleration of the spool's center as a fraction of its free fall accleration (i.e. a/g) c. the tension in the cord relative to the tension if the spool was hanging statically from the cord (i.e. T/T,tatic)
Each problem requires a proper FBD and separate kinematic diagram. 1. A long cord of length L and negligible mass is wrapped around a spool with mass m, radius R and radius of gyration about its center ko and released from rest. In terms of given variables and the accleration due to gravity g, find a. the horizontal acceleration of the spool. b. the downward accleration of the spool's center as a fraction of its free fall accleration (i.e. a/g) c. the tension in the cord relative to the tension if the spool was hanging statically from the cord (i.e. T/T,tatic)
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Transcribed Image Text:Each problem requires a proper FBD and separate kinematic diagram.
1. A long cord of length L and negligible mass is wrapped around a spool
with mass m, radius R and radius of gyration about its center ko and
released from rest. In terms of given variables and the accleration due to
gravity g, find
a. the horizontal acceleration of the spool.
b. the downward accleration of the spool's center as a fraction of its
free fall accleration (i.e. ag/g)
c. the tension in the cord relative to the tension if the spool was
hanging statically from the cord (i.e. T'T.tatic)
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