A rigid block of mass Mis mounted on four elastic supports, as shown in Fig. 2.58. A mass m drops from a height l and ad
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A rigid block of mass Mis mounted on four elastic supports, as shown in Fig. 2.58. A mass m drops from a height l and ad
k.
OR
take M= 30 kg, each k= 7.5 kN/m, and m=1
kg.
To calculate the response constants A1 and A2, use the initial
conditions: xo= M g / 4 k , and vo=√2g
A rigid block of mass Mis mounted on four elastic supports, as shown in Fig. 2.58. A mass m drops from a height l 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).
m M 0000 k 2000 0000 a FIGURE 2.58 Mass dropping on spring-supported rigid block.