Question

CEE2001(A) In-Class Ex #1 Problem Definition: A cylinder of radius r = 0.5 m is subjected to two normal forces N1 = 200 N and N2 = 347 N as shown in the figure below. The inclination angle 0 is 0 = 20°. • Express forces Nį and N2 in vector forms in the xy coordinate system. • Find the resultant R of forces N and N2 and the angle it makes with the x-axis. • Find the components of resultant R along the n - t axes. • Determine the resultant moment M, from forces Nį and N2 with respect to the origin O. →

Answer 1

N2 PM₂ Coso, Nisino H-ON @ from Figure tand, are parallel N2 and hare parallel component of Ni along a-aans Nesno cos = Nicoso component of N, along yan's = Nisino component of Nz along a anis is Nasino and alory y ranis = H₂Coso como Vector form of N = Ni Coso î f No sin o) = 200 Coszo î+ 200 sinzo] Vector form of N =-1₂5110 i +Nzcoso 9 = 347 51 220 i +347885209 N = 107.93 +68.40 Â ? Resultant N₂ = 118.68 i + 326.0 } ] , R=?t- 11200)+(347)2 --400-5N IR N 260 . In figure resultant R is making an angled. B0---- tand = N2-347 =1-735 ---cs d = tan 1(1.735), 12=600] Angle af R with respect to X-asu's = d+0 = 60+20º =B09 let ß=2+0 [p=00 ② component of Ralong t Re = r cosd' = 400-500S 60" Kh I t = 200N and ] Rn = 4100.5 cos 60 = 3474) -7X 60 @ Ni creats clockurse moment and Nz anticlockwise moment Scanned WMO = N2-)) L = (347-200)(0-5) = 73.5N-m CamScanner C Canticlockwise)