Use Figure B$2$ to answer questions $69-74$

A simple pendulum oscillates with simple harmonic motion in a vertical plane. It has a period of $1\mathrm{.}3$ s $,$ and a maximum velocity of $\backslash (0\mathrm{.}5\backslash$mathrm$\{$~m$\}/\backslash$mathrm$\{$s$\}\backslash ),$ determine the:

$69.$ Natural circular frequency of the motion $($rad$/$s$)$

$70.$ Length of the pendulum $($ m $)$

$71.$ Frequency of the motion $($ hz $)$

$72.$ Amplitude of the motion in degrees

$73.$ Maximum angular acceleration of the bob

$74.$ Maximum tangential acceleration of the bob

Use Figure $3$ to answer questions $75-80$

A $\backslash (25-\backslash$mathrm$\{$kg$\}\backslash )$ block is supported by the spring arrangement shown in Figure $3,$ where $\backslash (\backslash$mathrm$\{$K$1\}=8\backslash$mathrm$\{$kN$\}/\backslash$mathrm$\{$m$\},\backslash$mathrm$\{$K$\}2=12\backslash$mathrm$\{$kN$\}/\backslash$mathrm$\{$m$\},\backslash$mathrm$\{$K$3\}=18\backslash$mathrm$\{$kN$\}/\backslash$mathrm$\{$m$\}\backslash ).$ If the block is moved vertically downward from its equilibrium position and released, determine the following, if the amplitude of motion is $30$ mm :

$75.$ Equivalent stiffness of the springs

$76.$ Natural circular frequency of the motion $(\backslash (\backslash$mathrm$\{$rad$\}/\backslash$mathrm$\{$s$\}\backslash ))$

$77.$ Period of the resulting motion

$78.$ Frequency of the resulting motion $($ hz $)$

$79.$ Maximum velocity of the block

$80.$ Maximum acceleration of the block