To understand how the two standard ways to write the general solution to a harmonic oscillator are related. there are two common forms for the general solution for the position of a harmonic oscillator as a function of time t: x(t)=acos(ωt+ϕ) andx(t)=ccos(ωt)+ssin(ωt).either of these equations is a general solution of a second-order differential equation (f⃗ =ma⃗ ); hence both must have at least two--arbitrary constants--parameters that can be adjusted to fit the solution to the particular motion at hand. (some texts refer to these arbitrary constants as boundary values.)a)find analytic expressions for the arbitrary constants c and s in equation 2 (found in part b) in terms of the constants a and ϕ in equation 1 (found in part a), which are now considered as given parameters. give your answers for the coefficients of cos(ωt) and sin(ωt), separated by a comma. express your answers in terms of a and ϕ.
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Physics, 21.06.2019 21:50
Adiver in midair has an angular velocity of 6.0 rad/s and a moment of inertia of 1.2 kg·m2. he then pulls is arms and legs into a tuck position and his angular velocity increases to 12 rad/s. the net external torque acting on the diver is zero. what is his moment of inertia in the tuck position?
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Physics, 21.06.2019 22:50
Calculate the heat capacity per object when the total energy is 4 quanta. (think of this in terms of increasing from 3.5 quanta of energy in the system to 4.5 quanta of energy in the system, if that were possible.) c4 = __ j/k/object
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Physics, 22.06.2019 00:40
The rigid beam is supported by the three suspender bars. bars ab and ef are made of aluminum and bar cd is made of steel. if each bar has a cross-sectional area of 450 mm2, determine the maximum value of p if the allowable stress is (σallow)st = 200 mpa for the steel and ( σallow)al = 150 mpa for the aluminum. est = 200 gpa and eal = 70 gpa.
Answers: 1
To understand how the two standard ways to write the general solution to a harmonic oscillator are r...
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