a) Resolving the forces of the mass:
Vertically:
Horizontally:
For
You can evaluate sin\theta and cos\theta as you know the radius is 0.5m and the hypotenuse of the two right angle triangles are 2m
Repeat similar steps for
![](https://latex.codecogs.com/png.latex?\bg_white T_2)
,
b) Let's resolve the horizontal component of force but keep the velocity a variable,
Find
![](https://latex.codecogs.com/png.latex?\bg_white T_2)
using this, so
Evaluate
![](https://latex.codecogs.com/png.latex?\bg_white sin\theta)
and
![](https://latex.codecogs.com/png.latex?\bg_white cos\theta)
, similar to part (a), and for T_2 to exist, T_2 > 0. Then solve for v.