The mechanism below consists of a rigid bar and a box pinned to it at . a spring connects a disk of radius, , that rolls without slip in the box. the distance from the pivot point to the cenab b bo r b 0 0 ter of the disk is ( where is the undeformed spring length and is its change in length. a) determine the component of the acceleration in the direction of point , , in terms of , , and o l x ) l x x o x   + (and their derivatives). the angles and can be large but the spring restricts and thus to be small, b) linearize your result from a) assuming , , and are small, c) check your resullt for b) b x x x      y assumning small displacements initially.