2. Displacement, Velocity, and Acceleration Analysis

Try these first

1. 1.

   What is the definition of displacement?

   Hint

   Think about the object’s position change.

2. 2.

   How do you define velocity in kinematics?

   Hint

   Remember, it includes direction.

3. 3.

   What formula calculates linear velocity for a rotating link?

   • v = ω × r
   • v = a × t
   • v = m × t

   Hint

   Think about how rotation affects distance.

4. 4.

   True or False: Acceleration can be both tangential and centripetal.

   • True
   • False

   Hint

   Recall the different contexts of acceleration.

5. 5.

   Given a rotating arm of length 2m rotating at 5 rad/s, calculate the tangential and centripetal accelerations at a point 1m from the center.

   Hint

   Use the formulas for each type of acceleration.

6. 6.

   Consider a four-bar mechanism where the lengths of links and their angles are known. How would you set up the loop closure equations for position?

   Hint

   Remember, the loop should describe the closed path of motion.