Quiz - Simulation models

4.2. Quiz - Simulation models#

Test yourself with this quiz.

4.3. Speed and acceleration#

A container crane executes repetitive linear displacements of distance d in a given settle time T with a speed trapezoidal profile The load is mainly a mass M.

Speed Profile

Give expression of the maximal speed \(v_{max}\):

  • a: \(v_{max}=d/t\)

  • b: \(v_{max}=\alpha \frac{d}{t}\)

  • c: \(v_{max} = (1 - \alpha ) \frac{d}{t}\)

  • d: \(v_{max}=\frac{1}{ 1 - \alpha } \frac{d}{t}\)

Give expression of the maximal acceleration \(a_{max}\):

  • a: \(a_{max}=\alpha ^2 \frac{d}{t}\)

  • b: \(a_{max}=\alpha \frac{d^2}{t}\)

  • c: \(a_{max}=\frac{1}{ \alpha ( 1 - \alpha )} \frac{d}{t^2}\)

  • d: \(a_{max}=\frac{ \alpha }{ 1 - \alpha } \frac{d}{t^2}\)

display_quiz("./assets/quiz/quiz_acceleration.json")

4.4. Maximum power#

Give value of coefficient \(\alpha\) which minimizes maximal power \(P_{max}\):