Question

please do ONLY #1, and the figure labeled. thank you

KINEMATICS Problem K-2 Determination of velocities and accelerations of particles of rigid bodies being in translational and rotational motions Determine velocity, normal, tangent and full accelerations of particle M if block / travels distances. Table 1. Radii, cm x=x[t) (x-cm, t- sec) 10+100r 8012 18+701 501 84401 0.1 5+601 0.5 79012 0.2 4+301 0.5 3+80r 70r 54401 2+50r 601 6+20r 0.1 8140r 0.3

Answer 1

I-O giveno Given. S= 0.5m= socm Now assume a point 'P' on wheel 1 which in connected (Gear) the hanging thread direct. When point p reaches to p x travels a distance is & Arc length ppl=s Rixos 60x0 = 50 ..0 = Now, as gear 1 and 2 are on same shaft the angle of rotation of gear & is also xame. the If we consider a point on gear ?'. It moves - a dirtance of R20 when 'x'mores a distance of's A RO= 45x 50 x Thin a angular rotation of gearid *As gear & and gear 3 are connected Agul dinstance covered by a point on gears in equal to Distance covered by a point on gear'3' RO= Ro = dintance travelled by M'. strom table. Totloot 4096=575 X= RO = 45x50 2070

given six i 100th = 27.5 ť= 47.5 = 0.295 et=0.5244 sec -- Velocity of Ma olen (1041004) = 2005) 9.5244 alegi on oma) = 200X0.5244 =104.88 cm|sec = 1.0488 m/s Normal acoloration of M = Mot Court = 3:055 Yue (Reading of the economie Targentind aceleration of Min diverse til and Lost (1071001] = (2004) - 200 cm yece = 200x107 m/sc= 0.02 m/sec Total acceleration = santan V5-05)600" = ,05562 milence -
Note: Any time if you find such problems. Try to find the time taken to happen so. Then at that instant, u can get what is velocity and acceleration etc.

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