6.3. Common Mechanisms

Try these first

1. 1.

   Define displacement in your own words.

   Hint

   Think about how you would measure distance on a map.

2. 2.

   What is the formula for linear velocity?

   Hint

   Consider how velocity is affected by both angular velocity and radius.

3. 3.

   What is the rate of change of displacement called?

   • Acceleration
   • Velocity
   • Displacement

   Hint

   Think about how quickly you would move from one point to another.

4. 4.

   True or False: The Coriolis acceleration is always directed along the path of motion.

   • True
   • False

   Hint

   Consider the simultaneous sliding motion and rotation.

5. 5.

   If a sliding point moves along a rotating link with a relative velocity of 3 m/s and the link rotates at 2 rad/s, what is the Coriolis acceleration?

   Hint

   Make sure to substitute the correct values for ω and vₗᵉᵗ!

6. 6.

   Analyze a closed-loop mechanism with links measuring 1m each using the loop closure equation. Find the distance of the link from the origin.

   Hint

   Break down the problem using vector components to understand positions more clearly.