Simple Harmonic Motion (AQA A-Level Further Maths): Quizzes

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Simple Harmonic Motion
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What defines simple harmonic motion (SHM)?

Acceleration proportional to negative displ.

For d2xdt2=25x\frac{d^2x}{dt^2} = -25x, what is ω\omega?

ω=5\omega = 5

Where does maximum speed occur in SHM?

At the centre of motion (x=0x = 0)

What is the formula for maximum speed in SHM?

vmax=ωav_{\text{max}} = \omega a

What is the period TT for SHM with angular frequency ω\omega?

T=2πωT = \frac{2\pi}{\omega}

If ω=4\omega = 4, a=5a = 5 m, and x=3x = 3 m, find velocity vv.

v=16v = 16 m·s1^{-1}

If motion starts at x=0x = 0 when t=0t = 0, which form is used?

x=asin(ωt)x = a\sin(\omega t)

At the centre of motion, what are the energy characteristics?

Max KE, zero PE

How does period depend on amplitude in SHM?

Period is independent of amplitude

Which mode must calculators be in for SHM problems?

Radian mode

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