Consider the following equation: it = r'ijt as: .3333 + 1' cos (wt) , Given that :1: is position and t is time, nd the dimensions of 0:, .8, 6, 1x, and w for the above equation to be dimensionally homogeneous. Consider the following equation: I l -. 1 / Fob: = 492 + Em2 n 2 2 Given that F is force, a: is displacement: I? is an angle, and 1.! is speed, determine the dimensions of the quantities I and k for the above equation to be dimensionally homogeneous. Use the absolute dimensional system. Note that a single dot above a quantityr indicates the rst derivative of the quantity with respect to time, t. Two dots indicate the second derivative with respect to t