21-72 A 2-kg mass is suspended in a vertical plane by two springs and a dashpot...

Transcribed Image Text:

21-72 A 2-kg mass is suspended in a vertical plane by two springs and a dashpot as shown in Fig. P21-72. If the mass is displaced 5 mm below its equilibrium position and released with an upward velocity of 250 mm/s when f = 0, determine a. The differential equation governing the motion. b. The period of the resulting vibration. The position of the block as a function of time. d. The earliest time t> 0 when the block passes through its equilibrium position. 2 kN/m 4 kN/m 2 kg Fig. P21-72 50 N-s/m 21-72 A 2-kg mass is suspended in a vertical plane by two springs and a dashpot as shown in Fig. P21-72. If the mass is displaced 5 mm below its equilibrium position and released with an upward velocity of 250 mm/s when f = 0, determine a. The differential equation governing the motion. b. The period of the resulting vibration. The position of the block as a function of time. d. The earliest time t> 0 when the block passes through its equilibrium position. 2 kN/m 4 kN/m 2 kg Fig. P21-72 50 N-s/m