Question

35m I circle Suppose of 80 kg person attaches a 35 meter rope to themselves and jumps off a bridge as shown. Assume the initial velocity is zero. Also assume the rope is taught and the make a circular path as they descend. What will be the velocity of the person at the bottom of the circular arc? - What will the tension in the rope be at this point (at the bottom of the arc)? If the rope were to break at this point, where would they land? If the rope didn't break what would be the period of their motion as they swung back and forth (assume the angle is small)

Answer 1

circle By conservation of energy Suppose of 80 kg person attaches a 35 meter rope to themselves and jumps off a bridge as shown. Assume the initial velocity is zero. Also assume the rope is taught and the make a circular path as they descend 35m mg (35) = 1 What will be the velocity of the person at the bottom of the circular are? => ✓ 2x9.8*3 5 =VA What will the tension in the rope be at this point (at the bottom of the arc)? If the rope were to break at this point, where would they land? If the rope didn't break what would be the period of their motion as they swung back and forth (assume the angle is small) g] =>\VA:26.2 mis b) T-ing = mv² => t = 80x9.8 + 80 x 686 35 =T= 784 +05 68 = 2352N c) It robe break vertical ination 15m s= Uyt + I gt² tex- 115 = 0 +*29.87ť? t=1.75 s time taken Horizontal motion x = Vaxt = 26.2 x 1.75 (x=45.85 m , Tra a) T = 21 T = 243.14x 35 ' V 9.8 I to fall down IT=11.87s