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clipperdude21
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[SOLVED] Spring Oscillation Problem!
1. A 2.0 kg mass hangs at rest from a harmonic spring with a spring constant of 500 N/m inside an elevator that is stationary.
a) by how much is the spring stretched
b) suppose that the elevator is rising with a constant upward accel of 1/3 g. By how much is the spring stretched now.
c) The elevator stops at t=0. You observe that the mass starts to oscillate. What are the ampliturde A, frequency f, and the phase phi of the oscillation.
2. F=ma=kx-mg, phi= inverse tan[ wx(o)/v(0)].
3. I think i got a and b but am confused with c.
a) F=kx-mg.
mg=kx = (2)(9,8)= (500)x
x= 0.039 m
b) ma=kx-mg
(2)(9.8/3)=(500x)-2(9,8)
x=0.052 m.
c) w= sqrt(k/M)= 16.58 rad/sec
x(0)=0.052-0.039=0.01306. I think this is x(0) but what is v(o)?
1. A 2.0 kg mass hangs at rest from a harmonic spring with a spring constant of 500 N/m inside an elevator that is stationary.
a) by how much is the spring stretched
b) suppose that the elevator is rising with a constant upward accel of 1/3 g. By how much is the spring stretched now.
c) The elevator stops at t=0. You observe that the mass starts to oscillate. What are the ampliturde A, frequency f, and the phase phi of the oscillation.
2. F=ma=kx-mg, phi= inverse tan[ wx(o)/v(0)].
3. I think i got a and b but am confused with c.
a) F=kx-mg.
mg=kx = (2)(9,8)= (500)x
x= 0.039 m
b) ma=kx-mg
(2)(9.8/3)=(500x)-2(9,8)
x=0.052 m.
c) w= sqrt(k/M)= 16.58 rad/sec
x(0)=0.052-0.039=0.01306. I think this is x(0) but what is v(o)?