Given:
The length of the rod is l = 15 m
The weight of the cart is W = 1900 N
The angular speed is
[tex]\begin{gathered} \omega\text{ = 8 rev/min} \\ =8\times\frac{2\pi}{60} \\ =\text{ 0.837 rad/s} \end{gathered}[/tex]
To find the tension in the rod.
Explanation:
First, we need to calculate the mass of the cart.
The mass can be calculated as
[tex]\begin{gathered} m=\frac{W}{g} \\ =\frac{1900}{10} \\ =\text{ 190 kg} \end{gathered}[/tex]
The tension in the rod can be calculated as
[tex]\begin{gathered} T\text{ =W+ml}\omega^2 \\ =1900+(190\times15\times(0.837)^2) \\ =\text{ 3896.62 N} \end{gathered}[/tex]
