← Topic 17

Structured practice

Keep the problem visible, attempt it, then reveal the examiner-style solution.

QUESTION 1

Frequency and phase

An oscillator completes 24 cycles in 15 s. Find f, T and ω.

QUESTION 2

SHM condition

At x=+0.030 m, a=−0.75 m s⁻². Find ω.

QUESTION 3

Maximum speed

A=0.060 m and f=3.0 Hz. Find maximum speed.

QUESTION 4

Pendulum period

Find the period for l=0.64 m and g=9.81 m s⁻².

QUESTION 5

SHM energy

A spring has k=80 N m⁻¹ and A=0.050 m. Find total energy.

QUESTION 6

Damping

Compare critical and heavy damping.

QUESTION 7

Resonance

Why does stronger damping make a resonance peak lower and broader?