Problem # p042

F=m*a in x-y coordinates

The pin A of mass m=0.8 kg slides inside the slot of the vertical guide CD as the arm 0B rotates around the fixed point 0.
Neclect friction and gravity in order to calculate the force (call it F1) exerted onto the pin by the vertical guide and the force (call it F2) exerted onto the pin by the rotating arm.
Note : Because we neglect friction the force F1 is perpendicular to the vertical guide and the force F2 perpendicular to the length axis of the rotating arm.
In addition to the length b=1m the following are given :
  1. Give the value for the x-component of the velocity of the pin.
  2. Give the value for the x-component of the acceleration of the pin.
  3. Find the equation for the y-location of the pin as function of the distance "b" and the angle Θ.
  4. Determine the equation for the y-component of the acceleration of the pin and determine its value for the Θ etc.
  5. Use F=ma in the x- and in the y-direction to determine the values for F1 and F2.