Question

Problem statement: A metal hoop with a mass of 2 kg and a radius of 0.5 m is released from rest on the incline. If the coefficients of static and kinetic friction are 1. 0 20 and in En 15 (e) determine VG, w, and when the loop moves a distance of 3 m down the incline, (f) determine the inclined angle below which no slipping occurs. Determine and validate va in part (e), using (i) Work and Energy Method, Chapter 18 and (ii) Linear Impulse and Momentum Method, Chapter 15. Determine and validate w in part (e), using Angular Impulse and Momentum Method, Chapter 19. The equations of Va=r w and ag=ra are only valid for pure rolling without slipping. 0.5 m 30 degrees

Answer 1

a moment of. Inentia of hoop I = MRP a acceleration of black a= sino 1 + IA MR2 A IA = Moment of Inentia About IA = MR2 + MR? gx sinzo TA=2MR² 1+ 2MR? a = a = ** sin 20 - MR² a= g sino - 1. 1172 m/s2 2 a 4x = e2 = 2.234 podle

acceleration a.- about a g sino . g sina 1 + Ta MR2 Ias MR? | 20 21.675 m/s2) N = 3 (os 20 mg los 20 friction force = ls img 10120 = 0.20% 2X 9.8 R (oszo 16= 3.683. Mewton 2.762 Mewton

30 oba .s= uttllat? 3 = 0 + _ x 1.675 Xt? Tt = 1.8926 sec/