Lecture #16 Coupled pendulum

Question 1

T/F: modes are independent

Answer 1

True

Question 2

For the coupled pendulum, all motions are

Answer 2

Superposition of modes

Question 3

Mode

Answer 3

All parts of the system oscillate at the same frequency

Question 4

Normal coordinates in the pendulum example

Answer 4

q1 and q2

Question 5

Normal frequencies in the pendulum example

Answer 5

w1 and w2

Question 6

Two types of normal mode

Answer 6

Antisymmetric and symmetric

Question 7

True or false: the energy gets traded from one mode to the other

Answer 7

False

Question 8

How many types of energies are there for the coupled pendulum in class?

Answer 8

5

Question 9

Name the types of energy in the coupled pendulum discussed in class

Answer 9

K for the two masses, potential energy of the spring, two gravitational potential energies of the masses

Question 10

How to calculate the total energy of the coupled pendulum

Answer 10

Add up K for the two masses, potential energy of spring, two GPE’s of the masses

Question 11

Could there be a third mode for the coupled pendulum

Answer 11

No - comes from linear algebra results