Soive the resulting equations symbolically. . Check that your answer has the correct dimensions and satisfies special cases. • If numbers are given in the problem, plug them in and check that the answer makes sense. • Think about generalizations or simplifications of the problem. As an example, we will apply this procedure to find the acceleration of a block of mass m₂ that is pulled up a frictionless plane inclined at angle with respect to the horizontal by a massless string that passes over a massless, frictionless pulley to a block of mass m₁ that is hanging vertically. (Figure 1) igure N block 2 m₂a m₂g mig N block 2 a m₂a m₂g block 1 I migma C с N ma block block T 1 2 m₂g N block 2 T b m₂a m₂8 mig mig 17₁ d block 1 17₂ block 1 | m₁a 2 of 2 ▼ Part E What is F2, the sum of the x components of the forces acting on block 2? Take forces acting up the incline to be positive. Express your answer in terms of some or all of the variables tension T, m₂, g, and 0. View Available Hint(s) myaz = Σ F = Submit [5] ΑΣΦ Part F Complete previous part(s) Part G Complete previous part(s) Part H Complete previous part(s) Provide Feedback ?

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)...
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Question
Learning Goal:
Once you have decided to solve a problem using Newton's 2nd law, there are
steps that will lead you to a solution. One such prescription is the following:
• Visualize the problem and identify special cases.
●
Isolate each body and draw the forces acting on it.
Choose a coordinate system for each body.
Apply Newton's 2nd law to each body.
• Write equations for the constraints and other given information.
• Solve the resulting equations symbolically.
●
Check that your answer has the correct dimensions and satisfies
special cases.
●
• If numbers are given in the problem, plug them in and check that
the answer makes sense.
• Think about generalizations or simplifications of the problem.
As an example, we will apply this procedure to find the acceleration of a block of
mass m2 that is pulled up a frictionless plane inclined at angle with respect to
the horizontal by a massless string that passes over a massless, frictionless
pulley to a block of mass m₁ that is hanging vertically. (Figure 1)
Figure
block 2
block 1
1 of 2
>
Transcribed Image Text:Learning Goal: Once you have decided to solve a problem using Newton's 2nd law, there are steps that will lead you to a solution. One such prescription is the following: • Visualize the problem and identify special cases. ● Isolate each body and draw the forces acting on it. Choose a coordinate system for each body. Apply Newton's 2nd law to each body. • Write equations for the constraints and other given information. • Solve the resulting equations symbolically. ● Check that your answer has the correct dimensions and satisfies special cases. ● • If numbers are given in the problem, plug them in and check that the answer makes sense. • Think about generalizations or simplifications of the problem. As an example, we will apply this procedure to find the acceleration of a block of mass m2 that is pulled up a frictionless plane inclined at angle with respect to the horizontal by a massless string that passes over a massless, frictionless pulley to a block of mass m₁ that is hanging vertically. (Figure 1) Figure block 2 block 1 1 of 2 >
●
Solve the resulting equations symbolically.
Check that your answer has the correct dimensions and satisfies
special cases.
●
If numbers are given in the problem, plug them in and check that
the answer makes sense.
• Think about generalizations or simplifications of the problem.
As an example, we will apply this procedure to find the acceleration of a block of
mass m₂ that is pulled up a frictionless plane inclined at angle with respect to
the horizontal by a massless string that passes over a massless, frictionless
pulley to a block of mass m₁ that is hanging vertically. (Figure 1)
Figure
ma
IF
block
m₂a
2
m₂8 mig
a
block
2
m₂a
m₂8
block block
2
C
block 1
migma
N
block
2
T₂
m₂8
T
b
m₂a
m₂8
17₁
d
mig
m18
block
1
T₁
block
1
mja
2 of 2
Part E
What is F2, the sum of the x components of the forces acting on block 2? Take forces acting up the incline to be positive.
Express your answer in terms of some or all of the variables tension T, m2, g, and 0.
View Available Hint(s)
m2 A2x
Submit
=
ΣF2x =
VE ΑΣΦ
Part F Complete previous part(s)
Part G Complete previous part(s)
Provide Feedback
Part H Complete previous part(s)
=
Transcribed Image Text:● Solve the resulting equations symbolically. Check that your answer has the correct dimensions and satisfies special cases. ● If numbers are given in the problem, plug them in and check that the answer makes sense. • Think about generalizations or simplifications of the problem. As an example, we will apply this procedure to find the acceleration of a block of mass m₂ that is pulled up a frictionless plane inclined at angle with respect to the horizontal by a massless string that passes over a massless, frictionless pulley to a block of mass m₁ that is hanging vertically. (Figure 1) Figure ma IF block m₂a 2 m₂8 mig a block 2 m₂a m₂8 block block 2 C block 1 migma N block 2 T₂ m₂8 T b m₂a m₂8 17₁ d mig m18 block 1 T₁ block 1 mja 2 of 2 Part E What is F2, the sum of the x components of the forces acting on block 2? Take forces acting up the incline to be positive. Express your answer in terms of some or all of the variables tension T, m2, g, and 0. View Available Hint(s) m2 A2x Submit = ΣF2x = VE ΑΣΦ Part F Complete previous part(s) Part G Complete previous part(s) Provide Feedback Part H Complete previous part(s) =
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Follow-up Question
Part F
Now determine m₁a₁y = Σ Fly, the sum of the y components of the forces acting on block 1. Take forces acting upward as positive.
Express your answer in terms of some or all of the variables T, m₁, and g.
VE ΑΣΦ
m1aly
=
Σ Fy =
Submit Request Answer
?
Transcribed Image Text:Part F Now determine m₁a₁y = Σ Fly, the sum of the y components of the forces acting on block 1. Take forces acting upward as positive. Express your answer in terms of some or all of the variables T, m₁, and g. VE ΑΣΦ m1aly = Σ Fy = Submit Request Answer ?
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