2 votes

Difference between body-fixed angular velocity and the rate of change of Euler angles?

I am confused though on the difference between the Euler angles and the angular position. In the picture above, I've integrated the angular rates to get the angular positions. The angular position ...
  • 759
2 votes

Radial and transverse velocity

You could calculate the velocity magnitude from total energy (gravitational and kinetic) of the comet, which must be constant: $$E = E_p+E_k = -\frac{G\cdot M\cdot m}{r_A}+\frac{1}{2}m\cdot v_A^2 = -\...
1 vote

Why does the velocity of the two objects changes "gradually" after the collison?

Let's say a car with a mass of, $m$, speed of $v$, and a bumper with spring with stiffness $K $ collide head-on with a wall. It trades its kinetic energy gradually to the potential energy in the ...
  • 21.6k
1 vote

What causes damage to my drone when falling down?

A change in momentum is called an impulse which is equal to force applied over time. It's not the change in momentum since the change in momentum to reach zero speed from a given speed is the same ...
  • 4,480
1 vote

Forces supporting a beam

The sketch below is an equivalent system of the original problem. Now try solving for the reactions.
  • 7,880
1 vote

What is the difference between mass moment of inertia and area moment of inertia? And why mass moment of inertia alone used for kinetic rotation?

Mass moment of inertia has to do with the distribution of mass on a system from its neutral axis. the more spread this distribution the more torque is needed to turn this system about its neutral axis....
  • 21.6k
1 vote

What is the difference between mass moment of inertia and area moment of inertia? And why mass moment of inertia alone used for kinetic rotation?

The two terms are very different in practical applications. Confusingly very often the term moment of inertia is used for both of them, and also the same symbol is commonly used ($I$). Mass moment of ...
  • 23.7k
1 vote
Accepted

How to model the state space matrix of a pendulum?

Consider the Taylor series expansion $$\sin \left(x_1\right) = x_1-\frac{x_1^3}{6}+O\left(x_1^4\right)$$ As $x_1$ gets further away from 0, the correctness of the approximation and that of the linear ...
  • 1,901

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