The cart with attached x-y axes moves with an absolutespeed v = 2 m /s to the right

Chapter 3, Problem 3/303

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The cart with attached x-y axes moves with an absolute speed v = 2 m /s to the right. Simultaneously, the light arm of length l = 0.5 m rotates about point B of the cart with angular velocity \(\dot{\theta}=2\) rad /s. The mass of the sphere is m = 3 kg. Determine the following quantities for the sphere when \(\theta=0\): G, \(\mathbf{G}_{\mathrm{rel}}\), T, \(T_{\mathrm{rel}}, \mathbf{H}_{O},\left(\mathbf{H}_{B}\right)_{\mathrm{rel}}\) where the subscript “rel” indicates measurement relative to the x-y axes. Point O is an inertially fixed point coincident with point B at the instant under consideration.