Problem 4 Pulleys are a tool that can change the direction of a tension force without changing its magnitude. A worker has decided to lift a 153kg piano using the aid of a pulley. He has two options: 1) a single pulley or 2) a double-pulley. In both cases he will lower the piano with an acceleration of g/8 downward (that is, 1/8th the acceleration due to gravity). You're going to analyze both situations to determine which is better. Option 1: Single Pulley (left) (a) (b) a. Draw a FBD for the piano. b. Write Newton's 2nd law for the piano. C. Solve for the tension force in the rope. 1313 N Option 2: Double Pulley (right) – this redirects the tension force twice. In drawing your FBD, you may act as if the pulley were part of the piano. а. Draw a FBD for the piano. Check with your instructor before proceeding. b. Write Newton's 2nd law for the piano. c. Solve for the tension force in the rope. 656.3 N
Problem 4 Pulleys are a tool that can change the direction of a tension force without changing its magnitude. A worker has decided to lift a 153kg piano using the aid of a pulley. He has two options: 1) a single pulley or 2) a double-pulley. In both cases he will lower the piano with an acceleration of g/8 downward (that is, 1/8th the acceleration due to gravity). You're going to analyze both situations to determine which is better. Option 1: Single Pulley (left) (a) (b) a. Draw a FBD for the piano. b. Write Newton's 2nd law for the piano. C. Solve for the tension force in the rope. 1313 N Option 2: Double Pulley (right) – this redirects the tension force twice. In drawing your FBD, you may act as if the pulley were part of the piano. а. Draw a FBD for the piano. Check with your instructor before proceeding. b. Write Newton's 2nd law for the piano. c. Solve for the tension force in the rope. 656.3 N
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
Related questions
Question
Option 2 please. Disregard option 1.
Please only use equations listed on equation sheet.
![Problem 4
Pulleys are a tool that can change the direction of a tension force without changing its magnitude. A
worker has decided to lift a 153kg piano using the aid of a pulley. He has two options: 1) a single pulley
or 2) a double-pulley. In both cases he will lower the piano with an acceleration of g/8 downward (that
is, 1/8th the acceleration due to gravity). You're going to analyze both situations to determine which is
better.
Option 1: Single Pulley (left)
(a)
(b)
а.
Draw a FBD for the piano.
b. Write Newton's 2nd law for the piano.
C.
Solve for the tension force in the rope. 1313 N
Option 2: Double Pulley (right) – this redirects the tension force twice. In
drawing your FBD, you may act as if the pulley were part of the piano.
а.
Draw a FBD for the piano. Check with your instructor before
proceeding.
b. Write Newton's 2nd law for the piano.
С.
Solve for the tension force in the rope. 656.3 N](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe28b8fdf-2552-4f73-8b1c-90734de9299b%2Fcd55dbc0-6fb2-401b-ab67-c3d422b7fab0%2Fogv1m9h_processed.png&w=3840&q=75)
Transcribed Image Text:Problem 4
Pulleys are a tool that can change the direction of a tension force without changing its magnitude. A
worker has decided to lift a 153kg piano using the aid of a pulley. He has two options: 1) a single pulley
or 2) a double-pulley. In both cases he will lower the piano with an acceleration of g/8 downward (that
is, 1/8th the acceleration due to gravity). You're going to analyze both situations to determine which is
better.
Option 1: Single Pulley (left)
(a)
(b)
а.
Draw a FBD for the piano.
b. Write Newton's 2nd law for the piano.
C.
Solve for the tension force in the rope. 1313 N
Option 2: Double Pulley (right) – this redirects the tension force twice. In
drawing your FBD, you may act as if the pulley were part of the piano.
а.
Draw a FBD for the piano. Check with your instructor before
proceeding.
b. Write Newton's 2nd law for the piano.
С.
Solve for the tension force in the rope. 656.3 N
![Equations:
i = + v,At +äAt²
1
dr
Vavg
Savg
dtot
%3D
2
dt
At
At
Of = v; + âAt
do
å :
dt
davg =
m
9.81
S
g =
At
Ar = i; - T
2
Vfx² = Vix? + 2AAX
drot = |Ar,|+ |Ař2| +
Ainc = g sin 0
%3D
p = mở
EPni = EPnf
j = ap
v2f-Vif
e
vzi-Vii
E Fon obj =
dpobj
mobjãobj
Fo = mog
Fo = kAx
EO
dt
Wp = S*\F| cos 0 |dž|
WF = |F|cos 0 |Až|
If friction: AEth = |Ffriction| |A|
%3D
ΣΕ + W.xt ΣΕf
OR
EMech,i + Wext
- ΕMech,f T ΔΕt
AE
EMech = K + UG + U$
P
At
UG = mgh
US = kAx?
K =
mv²
II](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe28b8fdf-2552-4f73-8b1c-90734de9299b%2Fcd55dbc0-6fb2-401b-ab67-c3d422b7fab0%2Fwbjijur_processed.png&w=3840&q=75)
Transcribed Image Text:Equations:
i = + v,At +äAt²
1
dr
Vavg
Savg
dtot
%3D
2
dt
At
At
Of = v; + âAt
do
å :
dt
davg =
m
9.81
S
g =
At
Ar = i; - T
2
Vfx² = Vix? + 2AAX
drot = |Ar,|+ |Ař2| +
Ainc = g sin 0
%3D
p = mở
EPni = EPnf
j = ap
v2f-Vif
e
vzi-Vii
E Fon obj =
dpobj
mobjãobj
Fo = mog
Fo = kAx
EO
dt
Wp = S*\F| cos 0 |dž|
WF = |F|cos 0 |Až|
If friction: AEth = |Ffriction| |A|
%3D
ΣΕ + W.xt ΣΕf
OR
EMech,i + Wext
- ΕMech,f T ΔΕt
AE
EMech = K + UG + U$
P
At
UG = mgh
US = kAx?
K =
mv²
II
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