- #1
kylenic1997
- 9
- 0
Moved from technical physics section, so missing the homework template
I'm stuck on a homework question. It states, "Bob traverses a chasm by stringing a rope between a tree on one side of the chasm and a tree on the opposite side, 25 m away. Assume the rope can provide a tension force of up to 29 kN before breaking, and use a "safety factor" of 10 (that is, the rope should only be required to undergo a tension force of 2.9 kN). Bob's mass is 52.0 kg . Determine the distance x that the rope must sag at a point halfway across if it is to be within its recommended safety range."
The given information:
T=2900N
m=52.0Kg
and the equation I am using is ma=∑F, which is ma=T-mg
I'm not sure how to post my free body diagram, but I know that I am trying to find the sin of θ when i connect the two tension forces. This is where I'm stuck. I don't know how to get the value of the angle from only knowing the length of one side.
Any help is appreciated,
thank you
The given information:
T=2900N
m=52.0Kg
and the equation I am using is ma=∑F, which is ma=T-mg
I'm not sure how to post my free body diagram, but I know that I am trying to find the sin of θ when i connect the two tension forces. This is where I'm stuck. I don't know how to get the value of the angle from only knowing the length of one side.
Any help is appreciated,
thank you