Calculate tension if acceleration given

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Homework Help Overview

The discussion revolves around calculating the tension in a rope when a person is climbing it with a specified acceleration. The subject area is dynamics, specifically focusing on forces and tension in a vertical system.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants discuss the calculations for tension when the climber accelerates upward and downward. There is a consideration of how gravitational acceleration should be treated in relation to the direction of motion, with some questioning the sign of the gravitational force in the equations used.

Discussion Status

Some participants express agreement with the initial calculations, while others raise questions about the treatment of gravitational acceleration in the context of the climber's direction. The conversation indicates a productive exploration of the assumptions involved in the calculations.

Contextual Notes

The weight of the rope is neglected in the problem setup, and there is a focus on the effects of acceleration on tension in the rope.

bigman8424
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a 70.0 kb man climbs vertical rope attached to ceiling. weight of rope is neglected. calculate tension in rope, if accelerate up rope at 0.40 m/s^2

T = m(g+a)
T = 70.0(9.8+.4)
= 714 N


slides downward acceleration of .40
T = m(g-a)
t = 70.0(9.8-.4)
= 685 N

looks good?
 
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Looks fine to me.
 
bigman8424 said:
a 70.0 kb man climbs vertical rope attached to ceiling. weight of rope is neglected. calculate tension in rope, if accelerate up rope at 0.40 m/s^2

T = m(g+a)
T = 70.0(9.8+.4)
= 714 N


slides downward acceleration of .40
T = m(g-a)
t = 70.0(9.8-.4)
= 685 N

looks good?
Might just be me, but if he goes up at 0.4 then g is -9.8 because it is acting in the opposite direction. If you think about it in the direction as g is 9.8 then is acceleration is going to be -0.4.

So the second one looks good to me. :smile:

The Bob (2004 ©)
 
The Bob said:
Might just be me, but if he goes up at 0.4 then g is -9.8 because it is acting in the opposite direction. If you think about it in the direction as g is 9.8 then is acceleration is going to be -0.4.

So the second one looks good to me. :smile:

The Bob (2004 ©)
As he goes up he pulls down on the rope.
 
whozum said:
As he goes up he pulls down on the rope.
I see. :smile:

Cheers. :biggrin:

The Bob (2004 ©)
 

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