An object of mass $m_1=$

$4\mathrm{.}00kg$ is tied to an

object of mass $m_2=$

$3\mathrm{.}00kg$ with String $1$ of

length $l=0\mathrm{.}500m.$

The combination is

swung in a vertical cir$-$

cular path on a second

string, String $2,$ of

length $l=0\mathrm{.}500m.$ During the motion, the two strings

are collinear at all times as shown in Figure

At the top of its motion, $m_2$ is traveling at $v=4\mathrm{.}00\frac{m}{s}.$

$($a$)$ What is the tension in String $1$ at this instant?

$($b$)$ What is the tension in String $2$ at this instant?

$($c$)$ Which string will break first if the combination is

rotated faster and faster?