Unformatted text preview: 7. A cylindrical barrel with a radius of 30 cm and a mass of 75 kg rolls across a warehouse ﬂoor without slipping. The speed of the barrel’s center of mass is 8.0 m/s.
Note. 1 (cylinder) : 1/2 MR2. .. ’01:
a. What is the total kinetic energy of the barrel? ‘f
b. At the same moment the speed of the barrel was noted to be 8.0 m/s it was also
noted to be slowing down with an angular acceleration of — 0.30 rad/$2. How far
W from that point will the barrel travel before it stops?
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O (7;) + 2.0; As 9 A9  Ax = ‘C A8 —.= Q 3(u25)==—1:555 8. A bowling ball is released at the upper edge of a ramp that is inclined at an angle of
37 degrees with the ﬂoor. The ramp is 5.0 m long. The bowling ball is allowed to
roll freely without slipping under the inﬂuence of gravity down the ramp. The
bowling ball has a mass of 40kg and a diameter of 400m. Assume the bowling ball is
a uniform sphere. (l = 2/5 MR2) a. Calculate the total kinetic energy (rotational + translational) of the bowling ball at
the bottom of the ramp.
W b. Calculate the linear speed of the bowling ball at the bottom of the ramp.
c. How would the speed of a pool ball with mass of 400 g and diameter of 7.0 cm
compare with the speed of the bowling ball at the bottom of the ramp? 9:379 ot:5m Ma LLQKC’A T1033“
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 Fall '08
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 Physics

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