Answer
given,
mass of ball = 5.93 kg
length of the string = 2.35 m
revolve with velocity of 4.75 m/s
acceleration due to gravity = 9.81 m/s²
T cos θ = mg
T cos θ = [tex]5.93\times 9.81[/tex]
T cos θ = 58.17
[tex]T sin \theta =\dfrac{mv^2}{r}[/tex]
[tex]T sin \theta =\dfrac{5.93\times 4.75^2}{2.35 sin \theta}[/tex]
[tex]T sin^2 \theta =56.93[/tex]
[tex]sin^2 \theta = 1 - cos^2 \theta[/tex]
[tex]T (1 - cos^2 \theta) =56.93[/tex]
[tex]T (1 - (\dfrac{58.17}{T})^2) =56.93[/tex]
T² - 56.93T - 3383.75 = 0
T = 93.22 N
[tex]cos \theta = \dfrac{58.17}{93.22}[/tex]
θ = 51.39°
