1. Describe the graph of displacement versus time created on the preceding page: 2. Write an equation for x(t) in terms of o:
1. Describe the graph of displacement versus time created on the preceding page: 2. Write an equation for x(t) in terms of o:
Related questions
Question
100%
Please help with the questions on the second page. I have done the first page. Thank you!
Transcribed Image Text:9-7 Simple Harmonic Motion versus Uniform Circular Motion
Questions:
Simple harmonic motion is equivalent to the projection of uniform circular motion along
the x axis. Assume an object moves in a 1.0 m-radius circle with a constant angular velocity
of o = A/4 radians per second. How long will it take to complete one cycle?
1. Describe the graph of displacement versus time created on the preceding page:
UCM
SHM
2. Write an equation for x(t) in terms of o
+Xo-
3. Assume instead that the obiect moves in a 2.0 m-radius circle with a constant angular
velocity of o =1/2 radians per second.
a) How long will it take to complete one cycle?
b) Make a rough sketch of the x coordinate of the object as a function of time.
20 m
X
- Xo -
0m
1-
t (s)
3-
6.
-7
-8
-2.0m
Record the object's angular displacement, 0, at each time, t, listed below. Mark its location
on the circle and on the x axis below. Then calculate the x coordinate of the object and plot
t as a function of time. (Hint: Use the sine function)
c) Write an equation for x(t) in terms of o :
t (s)
1
2
3
4
6
7
8
4) Assume the object graphed in question 3 is moving in simple harmonic motion.
a) What is the frequency the motion, f?
e (radians)
1/4
b) Write an equation for the relationship between angular velocity, w, and frequency, f.
x (m)
10m
c) Write an equation for the relationship between angular velocity, o, and period T.
Х Om
> t (s)
2.
4
7.
8
-1.0m
ZEMO
56
hercee
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps with 1 images
