problem III $(30$ points$)$

The $600-$kg wrecking ball is suspended from the crane by a cable having a negligible mass. The

ball has a speed v$=10($m$)/($s$)$ at the instant it is at its lowest point, $\backslash$theta $=0\backslash$deg $,$

a$\backslash$theta $=0\backslash$deg $.$

b$(\backslash$theta $=0\backslash$deg $).$

c$(10$pts$)$ Determine the angle $\backslash$theta to which the ball can swing to the highest position Problem IV $(30$ points$)$

A car has a weight of $2700$ lb and is traveling forward at $\backslash (5\backslash$mathrm$\{$ft$\}/\backslash$mathrm$\{$s$\}\backslash )$ when it crashes into the wall. If the impact occurs in $0\mathrm{.}06$ s $,$

a$)(10)$ If the brakes are not applied, determine the average impulsive force acting on the car.

b$)(10)$ If the coefficient of kinetic friction between the wheels and the pavement is $\backslash ($ m$\_\{$k$\}=\backslash )0\mathrm{.}3.$ The brakes are applied to all four wheels so that all the wheels slip. Determine the impulsive force acting on the car if the brakes were applied during the crash.

c$)(10)$ Determine the speed of the car such as when breaks are applied, the car will not crash into the wall $($the impulsive force is zero$)$