Part 1 Of 3 Consider The Oscillation Of A Mass Spring System Where X Acos Wt O At The Time T 0 The Mass M Is At 1 (60.91 KiB) Viewed 46 times
Part 1 Of 3 Consider The Oscillation Of A Mass Spring System Where X Acos Wt O At The Time T 0 The Mass M Is At 2 (57.89 KiB) Viewed 46 times
part 1 of 3 Consider the oscillation of a mass-spring system where x = Acos(wt + o). At the time t = 0, the mass m is at x = 0 (the equilibrium point) and it is moving with a positive velocity vo. k -oooo m V0- x x=0 Find the phase angle o. Consider ras the projection of a counterclockwise uniform circular motion. 1. 0 = 0 Ο 2 φ = π 3. = 4. b=17 π 5.0 = 6. 11 7.0= x 9.0 312 3 4 k II 12 k 8.6=27 k k
part 2 of 3 Let the mass be 6.59 kg, spring constant 601 N/m and the initial velocity 1.42 m/s. Find the amplitude A. Answer in units of m. Answer in units of m part 3 of 3 Find the total energy of oscillation at T t= i.e., at one-eighth of the period. Con- sider what happens to the total energy during oscillatory motion. 1. E = *28-mul 2. E 12 3 3. E = mv mv 3 *4. E=m o 2 5. E= 8. 1 2√2 6. E = 2 m v 7. E = m v - m m v
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