Tutorial Quizzes Solutions Winter 2016

PwnHero Name: PCS 125 QUIZ - Second Week of Tutorial # 1 Student#. °') A simple pendulum has a bob of mass of 0.250 kg and a length of 0.5 m. It is displaced through an angle of 15° and then released. Calculate the following. (Give your answers with three digits) (a) Determine the angular frequency, OJ. (b) What is the maximum angular speed of the pendulum and the maximum speed of the bob, Vmax? ( c) What is the maximum angular acceleration of the bob and the maximum linear acceleration of the bob, a max? ( d) What is the maximum restoring force of the bob, Fmax? (e) What is the total energy, E, of the pendulum bob when the angular displacement is 5.0°? (f) If 10 seconds after starting the motion, the amplitude is 12°, what is the damping parameter, B? vJ; :. f~ (~j" / 5 ' b,S - \) V:: wA : 4, 41.C\ v~,.. \ s '><. 'i\ - o. "''"lc...v s ,tu - \.I 'I- ----= vt. , u-,..~~ \o.v \ '\60 {!]p ~-~i:~ , \\tt».v · )C...o,t;V<'\:; s "L L Li. 41.C-\ ir~ ') .,_ , 6 )(" \ 1SO CAl. :; (?,,.. ;t. t -- CAl,'-~,A<iv J) f ~Cl."'- - VJ',. - '#- fA. I(. -~--..,____ \ -L~--~ - \ Lu .1..~u K~\ L \ o • ,-6 -JI _6t t . - _\\) lo 'If\. s - Ao Q v') A "-~· o 2 'l,_) s·'l J bl\u'-) \ -:. \ 'L ... ,s e - -\1., \, - ::;:. ., PwnHero.com