Meriam, Kraige & Bolton — Kinematics of Particles: Problem 2_126

2/126 The robot arm is elevating and extending simultaneously. At a given instant, \(\theta = 30^\circ\), \(\dot{\theta} = 10 \text{ deg/s} = \text{constant}\), \(l = 0.5 \text{ m}\), \(\dot{l} = 0.2 \text{ m/s}\), and \(\ddot{l} = -0.3 \text{ m/s}^2\). Compute the magnitudes of the velocity \(v\) and acceleration \(a\) of the gripped part \(P\). In addition, express \(\mathbf{v}\) and \(\mathbf{a}\) in terms of the unit vectors \(\mathbf{i}\) and \(\mathbf{j}\).