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A

Anonymous

Jan 01, 2025

A house painter uses the chair and pulley arrangement of the figure to lift himself up the side of a house.

A house painter uses a chair and pulley arrangement, as shown in the figure, to lift himself up the side of a house. The painter has a mass of 70 kg, and the chair has a mass of 10 kg. What force must he exert by pulling down on the rope in order to achieve an upward acceleration of 0.20 m/s²? Thank you for any assistance provided!

3 Answers

O
Obie Lehner

Jan 24, 2025

Well, I hate pulley probelms too so take this as help not a solution.

Combine the masses to get 80 kg. Weight = Mass times gravity so Weight = ( 80kg ) ( -9.81 m/s^2 )

Weight = -784.8 Newtons.

I drew a pulley above a box with an arrow going down at 784.8 N with a rope attached to the box ( chair ) going over the pulley and back down to the side of the box.

Sum forces in the Y and remember its in motion so it doesnt equal 0 it equals mass times acceleration.

-784.8 N + 2T ( tension of the rope, 2 because your holding it on the other side in tension as well )

-784.8 N + 2T = ( 80 kg ) ( 0.20 m / s^2)

-784.8 N + 2T = 16 N

2T = 800.8 N

T = 400.4 N So you must pull down at 400.4 N which is around 90 lbs of force downwards. Since the total weight is 800.8 N or 17 = 180 lbs it does seem right that the pulley halfed the weight needed to pull up on. Remember pulleys make lifting heavy objects easier. Thats why when they pick up engines out of cars its roped to a pulley system of multiple pulleys that keep reducing the weight by a lot.

Friction and size of pulley in this problem were voided to solve by the way.

Let me know if this is right

[email protected]

A
Anonymous

Dec 09, 2024

the acceleration of the device is 0 definite he exerts an upward stress rigidity, in spite of the undeniable fact that it isnt sufficient to beat his weight. 283N is the stress rigidity upwards whilst the burden is 558N, downward rigidity is larger than upward rigidity so he’s not shifting up.

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