A $0\mathrm{.}275-kg$ object is swung in a vertical circular path on a string $0\mathrm{.}850$ m long as in the figure.

$($a$)$ What are the forces acting on the ball at any point along this path?

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$($b$)$ Draw free$-$body diagrams for the ball when it is at the bottom of the circle and when it is at the top. $($Submit a file with a maximum size of $1$ MB$.)$ Choose File no file selected

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$($c$)$ If its speed is $5\mathrm{.}97\frac{m}{s}$ at the top of the circle, what is the tension in the string there?

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$($d$)$ If the string breaks when its tension exceeds $24\mathrm{.}1$ N $,$ what is the maximum speed the object can have at the bottom before the string breaks? $\frac{m}{s}$