A gymnast of mass m climbs a vertical rope attached to the ceiling. You can ignore the weight of the rope.
Calculate the tension in the rope if the gymnast climbs at a constant rate.
Take free fall acceleration to be g
Calculate the tension in the rope if the gymnast hangs motionless on the rope.
Take free fall acceleration to be g.
Calculate the tension in the rope if the gymnast accelerates up the rope with an acceleration of magnitude .
Take free fall acceleration to be g
Calculate the tension in the rope if the gymnast slides down the rope with a downward acceleration of magnitude .
Take free fall acceleration to be g.
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2007-10-05 06:57:27 · 2 answers · asked by Anna 1 in Science & Mathematics ➔ Physics
watever:P!
2007-10-05 07:00:45 · answer #1 · answered by Anonymous · 0⤊ 0⤋
Force balance my friend.
Tension = F/Area(rope)
F = MG
1. T = MG/A(constant velocity creates no extra force)
2. T = MG/A (Object at rest creates no extra force)
3. T = (MG/A)+(M*a/A) = (M/A)*(G+a) (Climber resists gravity with accelaration, so Tension increases)
4. T = (M/A)*(G-a) (Climber slides with gravity, so Tension decreases)
2007-10-05 07:08:23 · answer #2 · answered by Ilya S 3 · 0⤊ 0⤋