An inextensible cable with a tension force f = 500 N is

Chapter , Problem 3.13

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An inextensible cable with a tension force f = 500 N is used to pull a two-wheeled cart on a horizontal surface (Figure P3.13). The wheels roll without slipping. The cart has a mass \(m_{c}=120 \mathrm{~kg}\). Each wheel has a radius \(R_{w}=0.4 \mathrm{~m}\) and an inertia \(I_{w}=1.5 \mathrm{~kg} \cdot \mathrm{m}^{2}\). Disregard the mass of the axle. The center of mass of the system is at point G. Compute the translational acceleration \(\dot{v}\) of the cart.

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