11.2.1. Basic Principles

Try these first

1. 1.

   What equation represents Newton's Law?

   Hint

   Think about force, mass, and acceleration.

2. 2.

   Define translational motion.

   Hint

   Consider how objects are displaced.

3. 3.

   What does F = m·a represent?

   • Newton's Law
   • Euler's Law
   • Gravitational Law

   Hint

   Consider the laws related to motion.

4. 4.

   True or False: Euler's Law explains translational motion.

   • True
   • False

   Hint

   Remember the different types of motion.

5. 5.

   A robot is being designed for search and rescue missions. If it weighs 500 kg and needs to accelerate from rest to a speed of 3 m/s in 2 seconds, calculate the force required using Newton's Law.

   Hint

   Find acceleration first.

6. 6.

   Given an inertia tensor of 4 kg·m² and an angular velocity of 2 rad/s, calculate the torque required to achieve an angular acceleration of 1 rad/s² using Euler's Law.

   Hint

   Use the moment of inertia and angular acceleration.