A) Multiplechoice: The angular velocity of the ring along the level section of t

Question

A) Multiplechoice: The angular velocity of the ring along the level section of the track (the initial angular velocity) is
a) u /R

b)u2/R    

c)uR

d)R/u

B) Multiple choice: The total initial kinetic energy of the ring is (consider all forms of kentic energy)

a) Mu2/2    b)2Mu2     c)4Mu2 d)Mu2

C)What is the maximum height, h, of the ring? HINT: What is true about the center of mass velocity and angular velocity of the ring when it reaches its maximum height? Use conservation of energy for this problem.

Explanation / Answer

A)
v = R

=v/R

a) is the answer

B)

Total KE = (1/2) Mv2 + (1/2) I2

I = MR2

=v/R

Total KE = (1/2) Mv2 + (1/2) Mv2 = Mv2

d) is the answer.

C)

Applying conservation of energy:

Mgh = Total KE

Mgh = Mv2

h = v2/g = 1.11m

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