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If each multiple object system is released from rest,

rank from least to greatest…

  • …net force on the system (magnitude only)

  • …total mass of the system

  • …acceleration of the system (magnitude only)

Assume μ = μs = μk and g = 10 N/kg

Created by Michael Freeman, www.afreeparticle.com

Pulley System Rankings

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Net Force Key

A

20 N

G

10 N

B

60 N

H

50 N

C

0 N

I

50 N

D

50 N

J

70 N

E

20 N

K

40 N

F

60 N

L

40 N

Least Greatest

C < G < A = E < K = L < D = H = I < B = F < J

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Total Mass Key

A

8 kg

G

8 kg

B

8 kg

H

8 kg

C

8 kg

I

8 kg

D

8 kg

J

8 kg

E

6 kg

K

8 kg

F

2 kg

L

16 kg

Least Greatest

F < E < A = B = C = D = G = H = I = J = K < L

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Acceleration Key

Least Greatest

C < G < A = L < E < K < D = H = I < B < J < F

A

2.5 m/s/s

G

1.25 m/s/s

B

7.5 m/s/s

H

6.25 m/s/s

C

0 m/s/s

I

6.25 m/s/s

D

6.25 m/s/s

J

8.75 m/s/s

E

3.33 m/s/s

K

5 m/s/s

F

30 m/s/s

L

2.5 m/s/s

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System A

μ = 0

2 kg

6 kg

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System B

μ = 0

2 kg

6 kg

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System C

6 kg

μ = 0.5

2 kg

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System D

μ = 0.5

2 kg

6 kg

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System E

20 N

μ = 0

6 kg

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System F

60 N

μ = 0

2 kg

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System G

μ = 0

6 kg

2 kg

θ = 30°

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System H

μ = 0

2 kg

θ = 30°

6 kg

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System I

μ = 0

2 kg

θ = 30°

6 kg

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System J

μ = 0

θ = 30°

6 kg

2 kg

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System K

μ = 0

2 kg

6 kg

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System L

μ = 0

2 kg

6 kg

8 kg