A block of weight W rests on the smooth semicylindrical surface. An elastic cord having a stiffness k is attached to the block at B and to the base of the semicylinder at point C. If the block is released from rest at A(θ = 0^°), determine the unstretched length of the cord so the block begins to leave the semicylinder at the instant θ = θ₁. Neglect the size of the block.

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Given: W = 2 lb k = 2 lb ft 01 = 45 deg a = 1.5 ft 8 = 9.81 2 S