Answered: D A The kinetic and potential energies… | bartleby

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The kinetic and potential energies of the vibrating masses are
T = mx{+÷mx?
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v = }kxf+k(x2 - x)*+kx}
Determine the Lagrange's Equation of Motion.

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3- choose the correct answer 1- In the case of a mono-atomic lattice oscillation, if the motion of adjacent atoms is in the same direction, then the equation describing the motion for the force acting on the atom n+3 is in the form: M M d²u₁1+3 dt² =-B(2u+3-U₁ M n+4 - U₁+2) d²u₁+3 = −ß(2u₁+3 − Un+4 dt² -un-2) ‚d²un+3 = −ß(2µµ+3 − U₁+4 − Uµ+2) M dt² B d²u₁+3 = B(2u₁43 — Un+4 − Un-2) dt² D .B M .D d²un3 करे M d²u₁+3 dt M 2. In the case of oscillation of a monoatomic lattice, if the motion of adjacent atoms is opposite, then the equation describing the motion for the force acting on the atom n + 3 is in the form: M = =-B(2un+3 +un+4 = d²u₁+3 dt² d²u₁+3 dt2 -B(2un+3 - Un+4-Un+5) =-B(2u₁₁+3 = +U₁+2) =-B(2un+3 +U₁+4 + U₁+2) .A Un+4-U₁+5) .C A C
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