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 my that is hanging vertically. (Eigure 1) Figure N block 2 m-a mg mist m₂g a N ma block block 1 C T₂ 2 m₂g N b block 1 *I*. block myd block ma 2 migma m₂g+ m₁g d 17 block 1 17₂ block 1 ma 2012 Part G Write equations for the constraints and other given information in this problem, the fact that the length of the string does not change imposes a constraint on relative accelerations of the two blocks. Find a relationship between the x component of the acceleration of block 2, 42x. and the acceleration of block 1. Pay careful attention to signs. Express ax in terms of ax and/or aly, the components of the acceleration vector of block 1. ▸ View Available Hint(s) aze Submit 195] ΑΣΦΑ Part H Complete previous part(s) Provide Feedback → ? Next >

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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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 >
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
LFL
block block
m₂a
2
m₂8 mig
block
2
block
2
a
m₂a
m₂8
block 1
m
N
block
2
T₂
m28
T,
b
m₂a
m₂8
m18
mig
d
T₁
block
T₁
block
1
m₁a
<
2 of 2
Part G
Write equations for the constraints and other given informationIn this problem, the fact that the length of the string does not change imposes a constraint on relative accelerations of the two
blocks. Find a relationship between the x component of the acceleration of block 2, a2x, and the acceleration of block 1. Pay careful attention to signs.
Express a2x in terms of a1x and/or aly, the components of the acceleration vector of block 1.
► View Available Hint(s)
a2x =
Submit
17 ΑΣΦ
Part H Complete previous part(s)
Provide Feedback
?
Next
Transcribed Image Text: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 LFL block block m₂a 2 m₂8 mig block 2 block 2 a m₂a m₂8 block 1 m N block 2 T₂ m28 T, b m₂a m₂8 m18 mig d T₁ block T₁ block 1 m₁a < 2 of 2 Part G Write equations for the constraints and other given informationIn this problem, the fact that the length of the string does not change imposes a constraint on relative accelerations of the two blocks. Find a relationship between the x component of the acceleration of block 2, a2x, and the acceleration of block 1. Pay careful attention to signs. Express a2x in terms of a1x and/or aly, the components of the acceleration vector of block 1. ► View Available Hint(s) a2x = Submit 17 ΑΣΦ Part H Complete previous part(s) Provide Feedback ? Next
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