- #1

kylenic1997

- 9

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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