9) Springs and Oscillators

Question 1

What are the two properties that describe the properties of a string

Answer 1

• Natural Length (ℓ)
• Extension (e)
• e = L - ℓ

Question 2

What is the spring constant

Answer 2

The force that the spring applies to its endpoints is proportional to the extension, where the constant of proportionality is the spring constant

Question 3

What is the force of a spring

Answer 3

b is the unit vector in the direction from A to B

Question 4

What is the angular frequency of a spring

Answer 4

ω = √(k/m)

Question 5

What is the period of a spring

Answer 5

tperiod = 2π/ω= 2π√(k/m)

Question 6

What is the external force acting on spring

Answer 6

Question 7

What is the equation of motion of a spring with external force but no drag

Answer 7

Question 8

What is the general solution of the equation of a spring with external force but no drag

Answer 8

Question 9

What is the result force on a spring with drag but no external force

Answer 9

Question 10

What is the character equation for the resultant force on a spring with drag but no external force

Answer 10

Question 11

What are the different cases ofthe character equation for the
resultant force on a spring

Answer 11

Question 12

What is a stable and unstable stationary point

Answer 12