C.1 Simple harmonic motion SL

Question 1

Simple Harmonic Motion (SHM)

Answer 1

Oscillations around an equilibrium position where acceleration is directly proportional to displacement but in the opposite direction

Question 2

Equation for acceleration in SHM

Answer 2

a is acceleration, ω is angular frequency, and x is displacement

Question 3

Total energy in SHM

Answer 3

Sum of the kinetic and potential energy at any point in the motion. It remains constant, periodically transferring between kinetic and potential energy.

Question 4

Time period (T)

Answer 4

The time taken for one complete cycle of oscillation. Relates to frequency as T= 1/f

Question 5

Angular frequency (ω)

Answer 5

Relates to frequency and time period as ω=2πf=
2π/f

Question 6

Simple pendulum time period

Answer 6

l is the length of the pendulum and g is the acceleration due to gravity

Question 7

Mass-spring system time period

Answer 7

m is the mass and k is the spring constant.

Question 8

Equilibrium position

Answer 8

The position where the oscillating system would rest if all motion ceased.

Question 9

Amplitude

Answer 9

Maximum displacement from the equilibrium position

Question 10

Frequency in pendulum and mass-spring systems

Answer 10

Number of oscillations per unit time, inversely related to the time period