# A Random Picture

**Classical Mechanics**Level 4

A pendulum oscillates harmonically in a room. A student enters the room and takes a picture of the pendulum at a random time. What is the probability that the picture will capture the pendulum in a position \(x\) such that \[ \frac{|x|}{A}\leq \epsilon=\frac{1}{10}\ \text{?} \] Here, \(x\) is deviation of the pendulum from the vertical and \(A\) is the amplitude of the oscillations.