Question

01. Answer both parts of this question. Part-1 2D Rigid Body Dynamics The machine shown in Figure Q1a comprises an arm AB attached to a rotating joint at point A, which can also be elevated by a hydraulic ram. The arm has mass 100 kg and moment of inertia IG = 10 kgm about mass centre G. A fixed x-y frame is shown with its origin at point A. At the instant shown, the arm is in the horizontal position and is being rotated in the x-y plane with constant angular velocity 10 rad/s, and is being elevated vertically with velocity 1 m/s and acceleration 5 m/s2 0.5 m 0.5m v=1 m/s a=5 m/s2 6 = 10 rad/s Figure 01a i) Write down the velocity and acceleration vector for the arm mass centre G. [4 Marks] ii) At the instant shown, draw a free-body diagram for arm AB and write down the plane body equations of motion. [3 Marks] ii) Determine the corresponding moment and forces in the xy plane applied to arm AB at point A. [3 Marks]

Answer 1

Ask like a a brodosed 0. A Gis Brits of mass of corn AB length of Arm im I m/s a 5m/s 8 10 V 10 rad/seo co will be acceleration the Arms The tanitational velocites & Samer for all the points of Velocity Vector of Point G V la w im ell (in due to Rotation upword (tinery direction) Torano stronal velocity Sims 10 10x oos 5m/sec Redultant Velouty of Point & in y direction - + 6 m/s

S Accelvation Vellor ډ و бm s- to force trecebatremt due centrifugal. acceleration w hen Resultant 5m/s ??????????????????? (1030.5=50m/s² Resultant Acco - (50) + 5 - 2500+25 Free Body Diagram f force to run the arm at consta Velocity mwer Reaction force ?

Moment of Am about A "M= mgR= 1008981x 0.5 linda = 49005 Nm 1 React - hores mwz R-mg-5xx100 R = 500+ 981 ITO = 148IN