The Conical Pendulum (AQA A-Level Further Maths): Flashcards

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The Conical Pendulum
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Motion type in conical pendulum

Circular motion in horizontal plane at constant speed

Shape traced by string

Hollow cone with apex at fixed point

Vertical component of tension TT

Tcos⁡θT \cos \theta

Horizontal component of tension TT

Tsin⁡θT \sin \theta

Vertical equilibrium equation

Tcos⁡θ=mgT \cos \theta = mg

Horizontal circular motion equation

Tsin⁡θ=mrω2T \sin \theta = mr\omega^2

Radius rr in terms of ll and θ\theta

r=lsin⁡θr = l \sin \theta

Height hh in terms of ll and θ\theta

h=lcos⁡θh = l \cos \theta

Period formula using ω\omega

2πω\frac{2\pi}{\omega}

Two forces acting on conical pendulum bob

Weight (vertically down) and tension (along string)

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