Practice Dirac Delta Function - 12 | 12. Dirac Delta Function | Mathematics (Civil Engineering -1)
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12 - Dirac Delta Function

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Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What is the primary property of the Dirac delta function at points other than zero?

💡 Hint: Think about where an idealized point load would have no effect.

Question 2

Easy

What does the Dirac delta function represent?

💡 Hint: Consider how forces can be applied in reality.

Practice 4 more questions and get performance evaluation

Interactive Quizzes

Engage in quick quizzes to reinforce what you've learned and check your comprehension.

Question 1

What is the integral of the Dirac delta function over the whole real line?

  • 0
  • 1
  • Infinity

💡 Hint: Think about the properties of a function that is only active at one point.

Question 2

True or False: The Dirac delta function is a regular function.

  • True
  • False

💡 Hint: Remember its key characteristics compared to regular functions.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

A structure is subjected to a point load represented by δ(x-3) and is vibrating due to dynamic forces. If the natural frequency is 5 Hz, derive the equations of motion using the delta function.

💡 Hint: Use the properties and definition of the Dirac delta function.

Question 2

Explain how you would methodically solve a differential equation representing a beam deflection subjected to a dynamic point load using the Dirac delta function.

💡 Hint: Approach it stepwise, applying the properties you've learned!

Challenge and get performance evaluation