tWO PEOPLE PLAY TUG OF WAR. tHE 97 KG PERSON ON THE LIFT PULLS WITH 1,176 n, AND THE 76 KG PERSON ON THE RIGHT PULLS WITH 839 n. aSSUME THAT NEITHER PERSON RELEASES THEIR GRIP ON THE ROPE WITH EITHER HAND AT ANY TIME, ASSUME THAT THE ROPE IS ALWAYS TAUT, AND ASSUME THAT THE ROPE DOES NOT STRETCH. wHAT IS THE MAGNITUDE OF THE TENSION IN THE ROPE IN nEWTONS?

1 answer

total mass = 97 + 76
total force = 1176 - 839

so
acceleration of system = a = (1176-839)/(97+76)

Now look at 97 kg person for example
1176 N to left (for example)
T to right
net force = (1176-T)
a = what we found above
so
1176 - T = 97 *a
solve for T