DJ (Forced harmonic oscillator). Find the solution oftdle'dt1+(03)x(t)=cosm t for t 2 O. X(U)=0. dxr'dt i=0=0. What if m: w ? (40) (p347) A solid cube of side 20: and mass M is sliding on a frictionless surface with uniform velocity v as shown in Figure P11.63a. It hits a small obstacle at the end of the table that causes the cube to tilt as shown in Figure Pll.63b. Find the minimum value of the magnitude of v such that the cube tips over and falls off the table. Note: The cube undergoes an inelastic collision at the edge. (20) (p463) An object of mass m1 is in equilibrium when connected to a light spring of constant k that is fastened to a wall as shown in Figure P15.73a. A second object, \"12, is slowly pushed up against ml, compressing the spring by the amount A (see Fig. P15.73b). The system is then released, and both objects start moving to the right on the frictionless surface. (a) When m1 reaches the equilibritun point, "12 loses contact With m1 {see Fig. P15.73c) and moves to the right with speed v. Determine the value of v (b) How far apart are the objects when the spring is fully stretched for the rst time (the distance D in Fig. P15.48d)'.' (40) F I: '\"t __' 2 a |__ 4121-94\". Mips ~\\/w # ' \" )m m_. Figure P11.63 :34.' m I m t, Figure P1533