SCAN0023 - 7 A cylindrical barrel with a radius of 30 cm...

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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? f 'vam T =0.E>m mt75K¢3 van“: <5‘Om/S ol _ \ ‘— l 2’ _. J. m Q- KE~ vacmi.+’i~1m - Z 'U'+ b~ VO'L =2 U3; + Zoe [:9 2 “NY“ .... _ 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“ M=olgLnenBva37= 3.0m a. AKE +m \«x: ib‘ \<E% : 'L‘WVU‘I +J’:Lr) FL: .—-LM'U’ l+l<gma(”):16 MVP?" __. ~_ :2 L83" 0 4 (01 fi)( 3') l . _ tmoaoaDDEDT . __ ‘7 ‘1. fi _ ‘ .. _ W\ . l<E‘—-—m*\5 —> "on gig _ one (S be mar O x in ,1 I 3 & 5 ll ...
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