Problem $1.$ A payfoad in a melet as hald an place withm inboldal cayity Assme dian he

payloasl is of imform densiry. The walls of the caviry are regred frictionless and the payload

the grylouis:

$r_n=ax+a0$

$a_m=cx+by=1dz$

$a_m=2v_1+s_2$

$r_n=r_n=r_n=0$

and boumiay condunons

be of the forme:

$\{\begin{array}{c}\text{:}{}_h=1i+b{A}^2=4i-\frac{2}{3}{m}^{\text{'}}{M}^{\text{'}}\end{array}$

$\{\begin{array}{c}\text{:}{?}_n^2=(as-2a{y}^2)\end{array}$