Cornhole is a game that requires you to toss beanbags through a hole in a wooden board. People with limited arm mobility often have difficulty enjoying this favorite tailgating activity. An adapted launching device attaches to a wheelchair so that points O and A are fixed. The device mimics an underhand throw by utilizing an elastic band to power the arm OC, which rotates about pin O. The elastic cord has an un-stretched length of 1 ft and is attached to fixed point A and to point B on the arm. The combined weight of the beanbag and holder at C is 4 lbs, and you can neglect the weight of the rod OB. Knowing that the starting position is 30 degrees from the horizontal as shown in the figure, determine the spring constant if the velocity of the bean bag is 31 ft/s when the bag is released at an angle of θ = 45 degrees.

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