Practice Vibration Of A String (7.2) - Partial Differential Equations - Mathematics III (PDE, Probability & Statistics)

Practice: Vibration of a String

Lesson 7.2Partial Differential Equations

Practise this section

9 questions

Flashcard drill
4 cards from this section. Quick, good the night before a test.
Exercise
6 questions · about 4 min · pass mark 70%. Hints available.
Sign up to start the exercise
Quiz
3 questions · about 2 min · pass mark 70%. Hints available.
Sign up to start the quiz

6 sample questions

Question 1.
What is the wave equation for a vibrating string?
Show hintHide hint
Refer to the basics of wave propagation.
Question 2.
Define what a node is in the context of standing waves.
Show hintHide hint
Think about where the string remains still.
3Question 3.
What does the wave equation for a string express?
- A relationship between time and mass
- The motion of strings over time and space
- The tension in a string
Show hintHide hint
Think about how a string vibrates.
4Question 4.
True or False: A node in a standing wave is a point of maximum displacement.
- True
- False
Show hintHide hint
Consider where motion is minimized.
Question 5.
A string of length 2 meters is fixed at both ends and under a tension of 50 N. Calculate the fundamental frequency of the string if its linear density is 0.01 kg/m.
Show hintHide hint
Remember to calculate the wave speed first using T and μ.
Question 6.
Explain how the frequency changes if the tension in the string is doubled while keeping the length constant.
Show hintHide hint
Use the relationship between tension and wave speed.

5 more questions in this section. Enroll free to practise them all.