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Plane motion of rigid bodies energy and momentum methods

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Please address 17.10. Please use work forces, kinetic energy, conservation of Energy, potential energy, power=mom * ang vel.

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Solution Summary

The solution is given equationally. The plane motion of rigid bodies energy and momentum methods are given.

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a.)
Because,
ratio of radii,
rB/rC = rA/rC = 4/10 = 2/5
At the circumference of the A, B and C, the linear velocity, tangential acceleration and linear displacement will be same.
hence,
wA/wC (ratio of angular velocities of A and C)
= alpha(A)/alpha(C) (ratio of angular accelerations of A and C)
= d_theta(A)/d_theta(C) (ratio of angular displacement of A and C)
= rC/rA = 5/2 = 2.5

Because,
Torque on B (TB) = 6.75 lb.ft = 6.75*32 lb.ft^2/s^2

Work done by torque = T*d_theta = change ...

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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