Solution Found!
Gears A and B of mass 10 kg and 50 kg have radii of gyration about their respective mass
Chapter 19, Problem F19-4(choose chapter or problem)
Gears A and B of mass 10 kg and 50 kg have radii of gyration about their respective mass centers of \(k_{A} = 80 \ mm\) and \(k_{B} = 150 \ mm\). If gear A is subjected to the couple moment \(M = 10 \ N \cdot m\) when it is at rest, determine the angular velocity of gear B when t = 5 s.
Questions & Answers
QUESTION:
Gears A and B of mass 10 kg and 50 kg have radii of gyration about their respective mass centers of \(k_{A} = 80 \ mm\) and \(k_{B} = 150 \ mm\). If gear A is subjected to the couple moment \(M = 10 \ N \cdot m\) when it is at rest, determine the angular velocity of gear B when t = 5 s.
ANSWER:
Problem F19-4
Gears A and B of mass 10 kg and 50 kg have radii of gyration about their respective mass centers of = 80 mm and = 150 mm. If gear A is subjected to the couple moment M = 10 N m when it is at rest, determine the angular velocity of gear B when t 5 s.
Step by Step Solution
Step 1 of 3
Applying the principle of angular impulse and momentum about A
As we know that,
(1)
Where M = couple moment =
Mass of gear
Radius of gyration of gear
angular velocity of gear A
Time = 5 sec