A 19 kg weight is attached to a spring with constant k = 475 kg/m and subjected to an external force F ( t ) = 1197 sin ( 2 t ) . The weight is initially displaced 2 meters above equilibrium and given an upward velocity of 3 m/s. Find its displacement for t > 0, with y ( t ) measured positive upwards.

Consider a file currently consisting of 200 blocks. assume that the file control block (and the index block in the case of indexed allocation) is already in memory. calculate how many disk i/o operations are required for contiguous, linked, and indexed (single-level) allocation strategies, for each of the conditions listed below. in the contiguous-allocation case, assume that there is not room to grow at the beginning but there is room to grow at the end. also assume that the block information to be added is stored in memory.