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Conservation of Angular Momentum: Suspended Rod

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The 6lb slender rod AB is originally shown at rest, suspended in the vertical position. A 1lb ball is thrown at the rod with the velocity v= 50ft/s and strikes the rod at C. Determine the angular velocity of the rod just after the impact. Take e = 0.7 and d= 2ft. (See attachment for diagram)

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Solution Summary

This solution includes four steps of calculations using Newton's experimental law and the law of conservation of angular momentum.

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mass of the rod M = 6 lb
mass of the ball m = 1 lb
length of the rod L = 3 ft
distance AC d = 2 ft
Initial velocity of the ball u = 50 ft/s
coeff. of restitution e = 0.7
Let us assume ...

Solution provided by:
Amrit Lal Ahuja, PhD (IP)
Education
  • BEng, Allahabad University, India
  • MSc , Pune University, India
  • PhD (IP), Pune University, India
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