Which expression gives the horizontal displacement of the bob of a simple pendulum of…

MATHEMATICS · Single correct · A Level · Mathematics · Trigonometry · Trigonometry

Problem

Which expression gives the horizontal displacement

x

of the bob of a simple pendulum of length

L

in terms of its small angular displacement

\theta

(in radians)? (a)

x = L\theta^{2}

(b)

x = L\sin\theta

(c)

x = L\theta

(d)

x = L\left(1-\cos\theta\right)