Question

Question 1 40 Points The collar at O and attached shaft OC rotate about the fixed X-axis at a constant rate 12 = 4 rad/s. The circular disk with radius 300 mm rotates at an angular velocity of ė = 10 rad/s and accelerates at a rate of P = 2 rad/s2. An observer and xyz coordinate system are attached to the disk, as shown in the figure below. The following equations are to be used to find the velocity and acceleration of point A. ỦA = (c +(8A/c)ret+4 x 7A/C ās =āc + (āA/C)rel +ã xrac +2w (oA/C)red + W x [w x řa/c] (a) Determine the velocity vector for point C, and ( Aldret . (10 pts.) (b) Determine 7, 7 Alc, and A. (15 pts.) (c) Find a c, (à Alerel and à . (15 pts.) Y 400 mm A 300 mm 22=4 rad/s EN = 10 rad/s Ö= 2 rad/sa

Answer 1

Sole Griven Data : 4 radis " AC= 0.3 m ) 6 = 10 rada ö = 2 rad/ > Equation for velocity vector e is :- a= a w x (Ho) + OC 이+ (2 day ) x ( + 0.4 Ñ ) (4 fx (ou k re -1.6 g Now Chaic) то 호 + Too 16) Now, w = rît ė ū 4 i+ 1o Ficlo 9 aló Now, I Alca RAC = (0.4 Å+ 0.3%)-(0.42)

Maka 0:38 2 vector of A is :- Equation og velocity Ja ū + IVA Inel + W x FM -1.69* ŏ + Cuât toß )x(0-39) - 4-6 + 1.2 Ŕ - 3 T - 3 î - 4-693 1.2 Jan DAT A (c) Equation for acceleration of Chin acão + Kockico + Dock (Wochaco) Xoc WCH o read Is Now, toca u i rad's facio ou o + Öxco.uậ) + yî xC têxo.vê) :, ã = Ő + öx 0.4ậ) ac 6.4

3 Now, lamic ner = 8 K - (x) + () Now I (rix o  + ( ö  ) 2 = (4 i* 10 Ŕ) + (2Ŕ. es 2= -4oft a completed