1 A student investigates stationary waves with an elastic cord of circular cross-section attached to a
load, as shown in Fig. 1.1.
L
pulley
vibrator load
cord
Fig. 1.1
When the frequency of the vibrator is f, the cord vibrates with the stationary wave pattern shown.
The student investigates how f varies with the cross-sectional area A of the cord.
It is suggested that the relationship between f and A is
1 M
f=
2L kA
where L is the distance between the two nodes, M is the mass of the load and k is a constant.
Design a laboratory experiment to test the relationship between f and A.
Explain how your results could be used to determine a value for k.
You should draw a diagram, on page 3, showing the arrangement of your equipment.
In your account you should pay particular attention to:
2 A student is investigating stationary waves on a stretched elastic cord. A vibrator attached to the
cord is connected to a signal generator.
The apparatus is set up as shown in Fig. 2.1.
pulley elastic cord
vibrator
M
Fig. 2.1
The mass M attached to the cord is adjusted until resonance is obtained. The number n of
antinodes on the stationary wave is recorded.
The experiment is repeated with different masses to obtain different values of n.
It is suggested that M and n are related by the equation
n Mg
f=
2L n
where f is the frequency of the vibrator, g is the acceleration of free fall, L is the length of the
elastic cord and n is the mass per unit length of the elastic cord.
1
(a) A graph is plotted of M on the y-axis against on the x-axis.
n2
Determine an expression for the gradient.
Stuvia customers have reviewed more than 700,000 summaries. This how you know that you are buying the best documents.
Quick and easy check-out
You can quickly pay through credit card or Stuvia-credit for the summaries. There is no membership needed.
Focus on what matters
Your fellow students write the study notes themselves, which is why the documents are always reliable and up-to-date. This ensures you quickly get to the core!
Frequently asked questions
What do I get when I buy this document?
You get a PDF, available immediately after your purchase. The purchased document is accessible anytime, anywhere and indefinitely through your profile.
Satisfaction guarantee: how does it work?
Our satisfaction guarantee ensures that you always find a study document that suits you well. You fill out a form, and our customer service team takes care of the rest.
Who am I buying these notes from?
Stuvia is a marketplace, so you are not buying this document from us, but from seller TheQuizMaster. Stuvia facilitates payment to the seller.
Will I be stuck with a subscription?
No, you only buy these notes for $3.90. You're not tied to anything after your purchase.