Question

Second time posting...please show correct answer!

part. The disk shown moves in the xy plane. Know that (VAv-71 m/s, (VB)x-7.6m/s, and (Vdx=-1.5m/s (og'yj VB=()i+ В. +(eNyj c=(eC)ki+ (Uc}yj AC 600 mm Determine the point of the disk with zero velocity. Point of the disk with zero velocity: 100 mm у- 100 mm X =

Answer 1

Given that:

the disk shown in the below fig moves in the xy plane

knowing that:

(va)y=-7m/s

(vb)x=-7.6m/s

(vc)x=1.5
NEN VB- (VB) x + ( ve yj SAD • Y = (V) kit ( v Jys = (u Y = (VA) xit (VA Jy i x 600 mm VAXT AVAYI = V + W + RAO here, wax and "Ay are the x and y components of relocity of point A, No is the velocity of the center o. w .. angular velocity vector of the disk Tay is position vector of poiest a wore to .o. substitute wk form diski rotates in counter clockwise dereclin VAXT+ Ay T = Vot wk X VALO Substitute (-aobi) in for lo

__ _ _- - - - - - - - "Akit My 5 = vt wxx. (-0.67) - -0-6407 substitute ver et był bor my Here Noe, and you are the k and y components. v V 17 Voy + Vj-0.60) AX Substitute -7mls for Vay NACE-15 - YouTt (You -0060); VAX = You 7- Ny-06w @ th Blo 1 9. Substitute ok for w

You it by d = J, tok XT 66 substituite 0.6 5. for Tolo Nby it by J = V twk xo.65 YOO W lo 0.6 od , , -6-6 to Substitute fore it Noys for % . . Be it by? YoxT + Voy? o Gwi Substitute -7.6 onls for vore -7.69 + vby i = (Vox+06w)j + Voy]. equating the individual components -7-6 = Vol-006win> by = y from point B. Neri+ Ugi = V t W X Y 416

wh for w Substitute Vox Tt Vegj = Vot wok x²40 substitute (0.6%) ombor 74o. Nerit Vyš = % 7. wk'x0-61 ri j k 000 (0.6.oo = To + 0.605 substitute vert Yoys for valt vg i = Yox + Yo, T +0603 Sudestituite Noruesit Youji - for To verit vey? - Noit voys to Gue} Substitute 4.5 mlg for Vck. -15P+vyo = Vox + ( Voy +0.60); Equating individual componenty -1.5 = VOY. ---> vey = Voy +0.6W -

solving eq's . : 1, 2, 3, 4, 5 and 6. Simultaneously for six unknown Vox=-1.6 mis. we lo rad is. Vay = + imis. MAX = -1.Gmis Voy = -Imis. Nay = 5mils. . : angulas velocity of the disk is lovadls.cow. (6) ve Vert AVT Sultetete -7.6 m/s for NBC 1mlg for By Here Noze = -76ols. By = -lmls. VB = (-7061 - 1;) mis ... velocity of the point Bis (-7.6i-1;) m/s.
m/s