Submission Date: $11/12/2024$

$1.$ What acceleration a of the collar along the horizontal guide will result in a steady$-$ state $\backslash (15^\{\backslash$circ$\}\backslash )$ deflection of the pendulum from the vertical $?$ The slender rod of length $\backslash ($ L $\backslash ),$ and the particle each have mass $\backslash ($ m $\backslash ).$ friction at the pivot $\backslash ($ P $\backslash )$ is negligible.