Answer Happy

2.15 A rigid block of mass M is mounted on four elastic supports, as shown in Fig. 2.58. A mass m drops from a height / and adheres to the rigid block without rebounding. If the spring constant of each elastic support is k, find the natural frequency of vibration of the system (a) without the mass m, and (b) with the mass m. Also find the resulting motion of the system in case (b).

122 M K. 3k 2000 K k FIGURE 2.58 Mass dropping on a Spring-supported rigid block.

OR you can take M= 30 kg, each k= 7.5 kN/m, and m=1 kg. If you assumed different values state those assumed values for M m and k To calculate the response constants A1 and A2, use the initial conditions: xo= Mg/4k, and vor 128