Consider a pendulum of mass m and length 1 attached to a massless block, which is itself attached to a fixed wall via a

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Consider A Pendulum Of Mass M And Length 1 Attached To A Massless Block Which Is Itself Attached To A Fixed Wall Via A 1 (51.89 KiB) Viewed 52 times

Consider a pendulum of mass m and length 1 attached to a massless block, which is itself attached to a fixed wall via a massless spring of constant k. Assume that the block moves without friction on rails (as seen below). y k M m x Xo mg Show that the Lagrange equations for x and are = më+kx = ml(02 sin 8 – ä сos e) ö + sine = cos e ï g 1 = -- and show that, by freezing the relevant degrees of freedom, you recover (separately) the dynamical equations for the simple harmonic motion of the spring and the pendulum.