Question

The wheel shown in the diagram starts from rest under the application of the constant force P=10 N. The wheel has a mass of m=3 kg and a radius of gyration about its center of mass of and kinetic coefficients of friction between the wheel and the inclined plane are At the instant shown, the center of the wheel, G, has a speed of 2 m/s. . The static and . (4 marks) (5 marks) (7 marks) (4 marks) a) Draw a free body diagram of the wheel. b) Prove that the wheel does not slip as it rolls up the inclined plane. c) Find the angular acceleration, , of the wheel. d) Determine the kinetic energy of the wheel at the instant shown.

Question3 The wheel shown in the diagram starts from rest under the application of the constant force P=10 N. The wheel has a mass of m 3 kg and a radius of gyration about its center of mass of kg = 0.2 m. The static and kinetic coefficients of friction between the wheel and the inclined plane are = 0.3 and k = 0.25. At the instant shown, the center of the wheel, G, has a speed of 2 m/s. a) Draw a free body diagram of the wheel (4 marks) (5 marks) b) Prove that the wheel does not slip as it rolls up the inclined plane. c) Find the angular acceleration, a, of the wheel (7 marks) (4 marks) d) Determine the kinetic energy of the wheel at the instant shown. Inner radius is 50 mm Outer radius is 250 mm P 15°

Answer 1

FORCE FROM PLANE IN FOR CIE APPLEED PE10N 5 FOR CE OP FORCE GRAVITと コァCLINE: ( P - ma Sn (5) 1ON-130k)(9-8s) a15)- aう acCE LER A7 o ALOM ma INCLINE > 30 a > 2-38 3o a EQUATIOM OFO ROTATION AL MOTION f- PLA) 161005 3o-a) 2 tLo25 Co-2s1 AcCERATIe O-5- O12 WHEBL DIES SLEP NO1

O-12 O-5 O-25 'a ELIINAniNa FRom 3-1 5 FoR FRECTLON MINE Mum Co-EFEECEER1 SLEPPINA NO N 5N O07S O.o75 THERE 2 No As g0.3 SLIPPING a-15 EO I N usinn o-31 RAD/See 2 WE GET RoLLINム KINE?IC OBJECT ENERGY 2.- RADIUS Ay R OUTE R 2 9-84 J 2 7S2.0