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ruppy99
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Ok first time poster here so I hope I do this right. 2 assignment q's out of four I got I'm having trouble with. I think there might be missing info but I'm hoping for someone to back me up on this or to point me in the right direction.
Q.1
Consider two identical ideal springs with a mass m attached which are harmonically
oscillating out of phase relative to each other, with the spring constant k = 100 Nm-1
and the mass m = 10-3 kg.
At the time t0 = + 0.1 sec the displacement of the spring 1 is x1(t0) = 10 mm and the
displacement of spring 2 is x1(t0) = 1 mm.
(i) Calculate the value of the amplitude A of each oscillation.
(ii) Calculate the value of the phase-difference φ between the two oscillators.
Q.2
The potential energy stored in a harmonic oscillator at time t0 = -0.5 s is 1 mJ. The
spring-constant associated with the oscillator has the value k = 103 N m-1 and the
oscillation amplitude is A = 10-6 m.
Calculate the magnitude of the maximum acceleration.
Q.1
[tex]\omega[/tex]=[tex]\sqrt{k/m}[/tex]
f=[tex]\omega[/tex]/2pi
T=1/f
Q.2
1/2mv2+1/2kx2=total energy in harmonic oscillator
Q.1
Found [tex]\omega[/tex]=316.23 rad/s, f=50.33hz and T=0.0199 yhen got stuck and wondered is there enough info..
Q.2
found total energy=0.005J, Kinetic energy at that point=0.004J and the x=1.41X10-3m
Homework Statement
Q.1
Consider two identical ideal springs with a mass m attached which are harmonically
oscillating out of phase relative to each other, with the spring constant k = 100 Nm-1
and the mass m = 10-3 kg.
At the time t0 = + 0.1 sec the displacement of the spring 1 is x1(t0) = 10 mm and the
displacement of spring 2 is x1(t0) = 1 mm.
(i) Calculate the value of the amplitude A of each oscillation.
(ii) Calculate the value of the phase-difference φ between the two oscillators.
Q.2
The potential energy stored in a harmonic oscillator at time t0 = -0.5 s is 1 mJ. The
spring-constant associated with the oscillator has the value k = 103 N m-1 and the
oscillation amplitude is A = 10-6 m.
Calculate the magnitude of the maximum acceleration.
Homework Equations
Q.1
[tex]\omega[/tex]=[tex]\sqrt{k/m}[/tex]
f=[tex]\omega[/tex]/2pi
T=1/f
Q.2
1/2mv2+1/2kx2=total energy in harmonic oscillator
The Attempt at a Solution
Q.1
Found [tex]\omega[/tex]=316.23 rad/s, f=50.33hz and T=0.0199 yhen got stuck and wondered is there enough info..
Q.2
found total energy=0.005J, Kinetic energy at that point=0.004J and the x=1.41X10-3m