Meriam, Kraige & Bolton — Kinematics of Particles: Problem 2_206

2/206 The radar tracking antenna oscillates about its vertical axis according to \(\theta = \theta_0 \cos \omega t\), where \(\omega\) is the constant circular frequency and \(2\theta_0\) is the double amplitude of oscillation. Simultaneously, the angle of elevation \(\phi\) is increasing at the constant rate \(\dot{\phi} = K\). Determine the expression for the magnitude \(a\) of the acceleration of the signal horn (a) as it passes position \(A\) and (b) as it passes the top position \(B\), assuming that \(\theta = 0\) at this instant.