0.4 m k = 500 N/m B, 0.3 m *0.15 m
The 13-kg sphere C is released from rest when θ = 0∘ and the tension in the spring is F = 100 N. The figure shows rod AB hinged at point A. Sphere C is attached to the other end of the rod, labeled as B. Point D is located on the rod, 0.3 meters from point A and 0.15 meters from the center of the sphere. A spring with stiffness k of 500 newtons per meter is attached to the rod at point D by one of its ends. Another end of the spring is fixed at point E, located 0.4 directly above point A. The sphere is shown to be below and to the right of point A. An acute angle between the rod and the horizontal is labeled as theta.
Determine the speed of the sphere at the instant θ = 90∘ . Neglect the mass of rod AB and the size of the sphere.
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