- #1
csquared5
- 6
- 0
Ok, here is the problem:
A man is sitting in a bosun's chair that dangles from a massless rope, which runs over a massless, frictionless pulley and back down to the man's hand. The combined mass of man and chair is 89.6 kg. With what force magnitude must the man pull on the rope if he is to rise (a) with a constant velocity and (b) with an upward acceleration of 1.41 m/s2? (Hint: A free-body diagram can really help.) If the rope on the right extends to the ground and is pulled by a co-worker, with what force magnitude must the co-worker pull for the man to rise (c) with a constant velocity and (d) with an upward acceleration of 1.41 m/s2? What is the magnitude of the force on the ceiling from the pulley system in (e) part a (f) part b, (g) part c, and (h) part d?
So I'm getting (a), (b), (c), (d), and (g) right, but I can't figure out how to go (e), (f), and (g)
For (a), I'm using 2Ftension=m(g+a), a being 0, and getting 439.04
For (b), I'm using 2Ftension=m(g+a), a being 1.41, and getting 502.208
For (c), it's 2x (a), which is 878.08
For (d), it's 2x (b), which is 1004.416
For (e) ?
For (f) ?
For (g), I simply used the equation (Tension (the answer for (c)) plus m1g, the mass of the man and bucket times gravity.
For (h) ?
Any help on how to determine (e), (f), and (h) would be greatly appreciated, this is due by 7am tomorrow! =[
A man is sitting in a bosun's chair that dangles from a massless rope, which runs over a massless, frictionless pulley and back down to the man's hand. The combined mass of man and chair is 89.6 kg. With what force magnitude must the man pull on the rope if he is to rise (a) with a constant velocity and (b) with an upward acceleration of 1.41 m/s2? (Hint: A free-body diagram can really help.) If the rope on the right extends to the ground and is pulled by a co-worker, with what force magnitude must the co-worker pull for the man to rise (c) with a constant velocity and (d) with an upward acceleration of 1.41 m/s2? What is the magnitude of the force on the ceiling from the pulley system in (e) part a (f) part b, (g) part c, and (h) part d?
So I'm getting (a), (b), (c), (d), and (g) right, but I can't figure out how to go (e), (f), and (g)
For (a), I'm using 2Ftension=m(g+a), a being 0, and getting 439.04
For (b), I'm using 2Ftension=m(g+a), a being 1.41, and getting 502.208
For (c), it's 2x (a), which is 878.08
For (d), it's 2x (b), which is 1004.416
For (e) ?
For (f) ?
For (g), I simply used the equation (Tension (the answer for (c)) plus m1g, the mass of the man and bucket times gravity.
For (h) ?
Any help on how to determine (e), (f), and (h) would be greatly appreciated, this is due by 7am tomorrow! =[