A block of mass M= 10 kg is on a frictionless horizontal surface. A small block whose mass is m= 1.0 kg is placed on the larger block. The coefficient of friction between the two blocks is u= .40. The two blocks execute SHM with a period T= 1.5 sec.
Find Xm, the maximum amplitude possible, for which the small block does not slide on the surface of the larger block. See ATTACHMENT for diagram.
A. The general equation giving location x(t) for an object executing SHM is:
(1) x = Xm cos(w t + Qo) in which Xm is the amplitude, Qo is the initial phase angle in radians, and w is the angular frequency in rad/sec.
B. In one period of time, T, the angle changes by '2 Pi' radians, therefore the angular frequency w, in terms of the ...