A mechanical engineering student has been practicing his yoyo tricks because he has too much free time. For one trick, he spins the yoyo such that it contacts the ground and rolls forward, emulating someone walking their dog. If the yoyo has a radius of gyration 0.01 m and a mass of m = 0.2 kg, determine the acceleration and angular acceleration of the yoyo when the tension in the string is found to be T = 0.3 N. Assume the string is at its full extent and does not roll up as the yoyo rolls. Assume there is also no friction where the string slips around the yoyo's inner axle. The coefficients of static and kinetic friction are found to be 0.25 and 0.1 respectively. The angle = 40 degrees and the radius of the yoyo is r = 0.04 m. Take the initial angular velocity of the yoyo to be w = 6 rad CW 8 Does the yoyo slip? What is the acceleration of the yoyo's center of gravity (G) and angular acceleration (a)? Round all answers to three significant figures. aG₂ 18 Slips Does not Slip - k m rad

Elements Of Electromagnetics
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ISBN:9780190698614
Author:Sadiku, Matthew N. O.
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A mechanical engineering student has been practicing his yoyo tricks because he has too much free time.
For one trick, he spins the yoyo such that it contacts the ground and rolls forward, emulating someone
walking their dog. If the yoyo has a radius of gyration 0.01 m and a mass of m = 0.2 kg, determine the
acceleration and angular acceleration of the yoyo when the tension in the string is found to be T = 0.3 N.
Assume the string is at its full extent and does not roll up as the yoyo rolls.
Assume there is also no friction where the string slips around the yoyo's inner axle. The coefficients of
static and kinetic friction are found to be 0.25 and 0.1 respectively. The angle = 40 degrees and the
radius of the yoyo is r = 0.04 m. Take the initial angular velocity of the yoyo to be w = 6 -
CW
rad
8
Does the yoyo slip?
Ꮎ
aG₂
Slips
Does not Slip
What is the acceleration of the yoyo's center of gravity (G) and angular acceleration (a)? Round all answers
to three significant figures.
a
(22
k
m
rad
8²
Transcribed Image Text:A mechanical engineering student has been practicing his yoyo tricks because he has too much free time. For one trick, he spins the yoyo such that it contacts the ground and rolls forward, emulating someone walking their dog. If the yoyo has a radius of gyration 0.01 m and a mass of m = 0.2 kg, determine the acceleration and angular acceleration of the yoyo when the tension in the string is found to be T = 0.3 N. Assume the string is at its full extent and does not roll up as the yoyo rolls. Assume there is also no friction where the string slips around the yoyo's inner axle. The coefficients of static and kinetic friction are found to be 0.25 and 0.1 respectively. The angle = 40 degrees and the radius of the yoyo is r = 0.04 m. Take the initial angular velocity of the yoyo to be w = 6 - CW rad 8 Does the yoyo slip? Ꮎ aG₂ Slips Does not Slip What is the acceleration of the yoyo's center of gravity (G) and angular acceleration (a)? Round all answers to three significant figures. a (22 k m rad 8²
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