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Q.1. For the system shown in Figure 1, the spring constant = 200 N/m. a) Write the complete Energy Equation for the solution

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a) Given me 50 kg, M = 150 kg, p= 0.6 m, R=0.4 m k = 200 N/m ܠܥܥܥܥܠܥܠܥ — 0 Total energy (€;) = total energy (E) initially finnow from equation is -mgh = 2 mw² + 2 mv² + 1 W² - mg (h+x) + Rx 2 | 2 (M + m) o² + & 2 w² - mg x + 2 kx² = 0 .-11) here I a16w?+ 13.5W2 - 300 + 60 = 0 29.562 = 240 w = 8.135 16 = 2.85 rad /sec / if g = 10 m/s2 or I w = 2.0 rad/sec / ifg=9.8 m/s2 (Cso from ② f ® ka = mg x = mg x 50 X 9.8 200 = 1x=2.45 mtr 7

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