Question

Question 2 (10 marks) Gears A and B have a mass of 4 kg and a radius of gyration (k) of 300 mm, and ae 2017-2018 m, and are which has a mass of 15 kg and a radius of gyration (k of 0.5 m. A motor is attache both meshea switched on while the system is initially at rest and provides a constant moment oed so gear c a) Determine the # of revolutions of gear C before it reaches an angular velocity of b) What is the maximum power produced by the motor in part (a)? (2 marks) c) Calculate the tangential force acting on gear A during part (a). (2 marks) d) What is the total amount of work gear C does on gear A during part (a)? (2 marks) to gear C, and it wih gear C. gear ith 0 500 rpm. (4 marks) 80 mm 80 mm alt 200 mm tion Question 3 (10 marks) Your parents, who are engineers, want to test if you learned anything in Dynamics, so they propose the following experiment. Two solid spheres of identical radius r will be released from rest at the top of a curved urface and roll without slipping until they leave the surface with a horizontal velocity as shown. One sphere is

Answer 1

AnS ais gation)300mm aud botn au eshed wti wwrth ク geay C, touch has a mass kas c aid it is soitched uhiu the System > inilial, at rest aud Provides a Censtanl moment 25Nm MB ZM Id

Mp (4) (0300 (%) : (200o 8D ?ク 80 3.75 o 、 oC.tt .50 rad 1Sv

a) Tht aueg erc bikit Yeachu an Revolutions velocity 5001pm: 500x &Trad 60 S 500xa 60 52-35) a(u)AD 2441.5 = 9、AD n30461

304.61 3046 6-28 8 50 b The Maximum ower produted bthe Motr v 60 60 552 33 1308 33 P130 iw

6. chearential ftke actirg on eay A 0 80 50685 FA: 5.063s d) The Total Anountear does aay 80 (52.4) t. (4)(0.3) 2 KEp 113183 318 J