1.A particle moves along the positive x-axis with an acceleration in meters per second squared which increases linearly with x expressed in millimeters, as shown on the graph for an interval of its motion. If the velocity of the particle at x = 45 mm is 0.57 m/s, determine the velocity at x = 220 mm.
2.Given simply supported beam with an overhang. The beam is 12 inches wide by 24 inches deep, and the slab is 6 inches deep. use a roof live load of 20 psf, and a concrete density of 150 pdf. the beams are spaced 15 feet apart. the total beam length is 30 feet, with 24 feet between supports and a 6 foot overhang. plot the shear and moment diagrams for the beam