The ideal spring of constant k-2.6 kN/m is attached to the disk at point A and the end fitting at point B, as shown. The spring is unstretched when A and B are both zero. If the disk is rotated 15⁰ clockwise and the end fitting is rotated 30°counterclockwise, determine the vector expression for the spring force F. ( Determine distance C so that the moment the spring force makes about the Z axis is equal to 10.82 N.m. (

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Q: 7 ft F= 80 lb 15 ft B 45 1.5 ft 3 ft 5 ft

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A: BC→ =OC→ -OB→OC→=-8i,^ 10j^, 9k^OB→=-6i ^,-6j^ ,6k^BC→ =-8i,^ 10j^, 9k^ --6i ^,-6j^ ,6k^BC→ =-2i,^…

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Free Body Diagram

The system of forces acting on a body tends to either rotate it or make the body undergo motion. In general, when an external agent exerts a force on a body, the body undergoes translational motion and rotational motion. The body has six degrees of freedom under the influence of that force. Here, three degrees of freedom are from the translational motion while the other three are from the rotation motion. However, sometimes the bodies are not allowed to undergo any motion and are fixed, under such conditions the body is said to be constrained.