Posts Tagged ‘rc’

Pulley Set

Saturday, May 28th, 2011

Pulley Set

New Sram XX 10 Speed Rear Derailleur Mid Cage Carbon Mountain Bike off road
New Sram XX 10 Speed Rear Derailleur Mid Cage Carbon Mountain Bike off road
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SRAM XX Mountain Bike Derailleur Set Front and Rear
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Campagnolo Record Pulley Bolt Set Fits 2006 2008
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NEW SRAM X7 9S SHORT CAGE REAR DERAILLEUR 7 8 9 SPEED X7 9SPD 8SPD X9 SLX 7SPD
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MOWA Jocky Wheels Pulleys 2Pcs 11T Blue
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NEW SRAM X7 SHORT CAGE REAR DERAILLEUR SHIFTER COMBO 9 SPEED 9S 9SPD X7 SLX
NEW SRAM X7 SHORT CAGE REAR DERAILLEUR SHIFTER COMBO 9 SPEED 9S 9SPD X7 SLX
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   1

Pulley Set
Acceleration of two blocks on a pulley system?

two blocks are connected by a rope that passes over a set of pulleys. One block has a weight of 412N the other has a weight of 908N. The rope and the pulley's are massless and there is no friction.
A. what is the acceleration of the lighter block?
B. Suppose that the heavier block is removed, and a downward force of 908N is provided by someone pulling on the rope. Find acceleration of the remaining block.
C. Explain why the answers in A and B are different

This problem is based upon what is called an Atwood machine.

The basic equation to find acceleration for (A) is:
a = g(m2 - m1)/(m1 + m2)

m1 = 908/g
m2 = 412/g

a = g(m2/g - m1/g)/(m1/g + m2/g)
so,
a = (908 - 412)/(412 + 908) = 3.68 m/s^2

For (B), this boils down to a F=ma problem. Draw a free body diagram.

m2 = 412/g = 42.0 kg
Force up = 908N
Force down = m(g+a) = (42)(9.8 + a) = 412 + 42a
The two forces balance:
908 = 412 + 42a
a = 11.8 m/s^2

(C) The two are different because in (B) there is only one mass to accelerate.

See link below for further info.

Hope this helps.

New Sram XX 10 Speed Rear Derailleur Mid Cage Carbon Mountain Bike off road
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SRAM XX Mountain Bike Derailleur Set Front and Rear
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Campagnolo Record Pulley Bolt Set Fits 2006 2008
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Shimano Rear Derailleur Pulley Set 10sp 105 RD 5700 SS GS 105 5700 10 speed
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NEW SRAM DERAILLEUR PULLEY SET FOR 2010 SRAM X7 X9 REAR DERAILLEUR
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MOWA Jocky Wheels Pulleys 2Pcs 11T Blue
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