A 70 kg tightrope walker is the exact middle of a span of her rope. At that point each rope makes an angle of 3 degrees below horizontal with its supporting column. What is the TENSION in the ropes.

Respuesta :

Answer:

The tension is [tex]  T= 6553.811\ N  [/tex]      

Explanation:

From the question we are told that

   The  mass of the tightrope  walker is  m =  70 kg

    The angle of the rope with the horizontal is  [tex]\theta =  3^ o[/tex]

   

Generally the net force on the vertical axis at  equilibrium is mathematically represented as

       [tex]2 T si n (\theta ) - mg    =  0[/tex]

=>     [tex]2 T sin (3 ) - 70 *  9.8    =  0[/tex]

=>     [tex] 0.1046719T - 686    =  0[/tex]    

=>     [tex]  0.1046719T     =  686 [/tex]    

=>     [tex]  T= 6553.811\ N  [/tex]