5. Coincident Points in Mechanisms

Try these first

1. 1.

   What is a coincident point?

   Hint

   Think about where two parts of a mechanism meet.

2. 2.

   What is the equation for the velocity at a coincident point?

   Hint

   Remember it involves point A and point B.

3. 3.

   What is the equation for calculating the velocity of a point A at a coincident point?

   • v_A = v_B + v_{A/B}
   • v_A = v_B - v_{A/B}
   • v_A = v_B × v_{A/B}

   Hint

   Focus on how A relates to B and its own relative velocity.

4. 4.

   True or False: The Coriolis component is irrelevant in the analysis of coincident points.

   • True
   • False

   Hint

   Consider systems where parts rotate.

5. 5.

   You have a mechanical arm where point O is a coincident point between two links. If link 1 rotates with an angular velocity of 30 degrees per second clockwise and link 2 is sliding past it at a constant speed of 2 m/s, calculate the velocity of point O.

   Hint

   Pay attention to the direction and consider both linear and angular speeds.

6. 6.

   In a slider-crank mechanism, the crank rotates at ω = 60 rad/s and the radius is r = 0.4 m. What is the relative acceleration experienced by a point on the slider when the crank is at its horizontal position? Include the Coriolis component in your calculations.

   Hint

   Break down the components of each acceleration; it's essential.