Concept explainers
The 60-kg wheel has a radius of gyration about its center O of k0 = 300 mm. If it is subjected to a couple moment of M = (3t2) N m, where t is n seconds, determine the angular velocity of the wheel when t = 4 s, starting from rest.
The angular velocity
Answer to Problem 1FP
The angular velocity of the wheel when
Explanation of Solution
Given:
The mass of the wheel,
The radius of gyration of wheel about its mass center,
The couple moment on wheel,
The given time of rotation for wheel,
Conclusion:
Initially the wheel is at rest, thus take the initial angular velocity of wheel as
Express the mass moment of inertia of wheel about
Substitute
Apply principle of impulse and momentum in clockwise direction.
Substitute
Hence, the angular velocity of the wheel when
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Chapter 19 Solutions
ENGR.MECH.:STAT.+DYNAMICS
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