One end of a long string of linear mass density 8.0 × 10–3 kg m–1 is connected to an electrically driven tuning fork of frequency 256 Hz. The other end passes over a pulley and is tied to a pan containing a mass of 90 kg. The pulley end absorbs all the incoming energy so that reflected waves at this end have negligible amplitude. At t = 0, the left end (fork end) of the string x = 0 has zero transverse displacement (y = 0) and is moving along positive y-direction. The amplitude of the wave is 5.0 cm. Write down the transverse displacement y as function of x and t that describes the wave on the string.

Asked by Last Modified  

1 Answer

Learn Additional Exercise 15

Follow 1
Answer

Please enter your answer

The equation of a travelling wave propagating along the positive y-direction is given by the displacement equation: y (x, t) = a sin (wt – kx) … (i) Linear mass density, Frequency of the tuning fork, ν = 256 Hz Amplitude of the wave, a = 5.0 cm = 0.05 m … (ii) Mass of the pan,...
read more
The equation of a travelling wave propagating along the positivey-direction is given by the displacement equation: y(x,t) =asin (wt–kx) … (i) Linear mass density, Frequency of the tuning fork, ν = 256 Hz Amplitude of the wave,a= 5.0 cm = 0.05 m … (ii) Mass of the pan,m= 90 kg Tension in the string,T=mg = 90 × 9.8 = 882 N The velocity of the transverse wavev, is given by the relation: Substituting the values from equations (ii), (iii), and (iv) in equation (i), we get the displacement equation: y(x,t) = 0.05 sin (1.6 × 103t– 4.84x) m read less
Comments

Now ask question in any of the 1000+ Categories, and get Answers from Tutors and Trainers on UrbanPro.com

Ask a Question

Recommended Articles

Learning for every child starts from a very young age. While the formal methods include school curriculums and private lessons, the informal methods include dancing, music, drawing, and various fun-filling activities. Playing games and practising these types of activities helps the children get out of boredom and...

Read full article >

With the mushrooming of international and private schools, it may seem that the education system of India is healthy. In reality, only 29% of children are sent to the private schools, while the remaining head for government or state funded education. So, to check the reality of Indian education system it is better to look...

Read full article >

E-learning is not just about delivering lessons online. It has a much broader scope that goes beyond manual paper or PowerPoint Presentations. To understand the reach of E-learning and how the whole process works in developing the Educational system, we will discuss a few points here. Let us find out how this new learning...

Read full article >

Appearing for exams could be stressful for students. Even though they might have prepared well, they could suffer from anxiety, tension etc. These are not good for their health and mind. However, following a few exam preparation tips can save them from all these and help them to score good marks. Let’s find out all...

Read full article >

Looking for Class 11 Tuition ?

Learn from the Best Tutors on UrbanPro

Are you a Tutor or Training Institute?

Join UrbanPro Today to find students near you