Question

Rod OB, of length 1, rotates about with a constant absolute angular velocity of . At the same time, rod BA, of length 12, rotates about B with a constant angular velocity of or relative to rod OB. At the instant shown, determine (note: all answers must be expressed by the unit vectors i and j): (a) The absolute angular velocity of the rod BA (5 pts). (b) The position vector from point B to point A expressed by i and j (5 pts). (C) The relative velocity of point A with respect point B (5 pts). (d) The absolute velocity of point A (5 pts). (e) The relative acceleration of point A with respect to point B (5 pts). (1) The absolute acceleration of point B (10 pts). (8) The Coriolis acceleration of point A (5 pts). (h) The absolute acceleration of point A (10 pts) (1) The absolute velocity of the point E if the rod AE has a length of h, a constant angular velocity of 03 relative to rod BA, and a relative angular displacement with respect to rod BA (5 pts bonus). Type here to search

Answer 1

Answer:

The given figure is, B It can be explained as Rod OB, of length e,, rotates about 0 with a constant angular velocity of wi. Red BA of length ls, rotates about B with a constant angular velocity of Wa. relative to red ob a) Absolute angulae velocity of rod BA = (w, Wa) Position vector from point B to Point A expressed as I and ů = ² 6 ВА = de comment le sin

c) The relative velocity of it with respect to B=JAIB - Uzla (chinei + cosof) d) The absolute velocity of A avo =JB + JALB =d, w, It wala (sinoît Cosofi) 56-60, L, ängla +(0,60, +w, Q262010) e) Relative acceleration of A with respect to B = hq Wal (-coso ê - sino) f) Absolute acceleration of B = 2,0? ) g) The coridis acceleration of A= oito) h) The absolute acceleration of A = aptare =d, wh î + (- de Wy cono) i - la wh sinoj =(2, wy_d2 w2, 050) + (-dg wilt sino) i i) Absolute velocity of E if A E has a

length of lze a constant angulae velocity w.g relative to lod BA | = d, w, 9 + Walz (-sino + coso ) + d z W₂ (sin (0+) û + cos (0+0) 7) Ve= (ywy lino-dg10,5m(46) +(9,69 +6910,ces Othylly Cos (0+8))}