at Part A Consider another special case in which the inclined plane is vertical (0/2). In this case, for what value of my would the acceleration of the two blocks be equal to zero? Express your answer in terms of some or all of the variables m₂ and g. [ΕΙ ΑΣΦΑ Submit Request Answer ?

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Chapter1: Units, Trigonometry. And Vectors
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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)
Visualize the problem and identify special cases
First examine the problem by drawing a picture and visualizing the motion. Apply Newton's 2nd law, F = má, to each body in your mind. Don't worry about which quantities are given. Think about the forces on
each body: How are these consistent with the direction of the acceleration for that body? Can you think of any special cases that you can solve quickly now and use to test your understanding later?
One special case in this problem is if m₂ =0, in which case block 1 would simply fall freely under the acceleration of gravity: a₁ = -gj
Part A
Consider another special case in which the inclined plane is vertical (0 = π/2). In this case, for what value of m₁ would the acceleration of the two blocks be equal to zero?
Express your answer in terms of some or all of the variables m2 and g.
[5] ΑΣΦ
m₁ =
Submit
Request Answer
www
?
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) Visualize the problem and identify special cases First examine the problem by drawing a picture and visualizing the motion. Apply Newton's 2nd law, F = má, to each body in your mind. Don't worry about which quantities are given. Think about the forces on each body: How are these consistent with the direction of the acceleration for that body? Can you think of any special cases that you can solve quickly now and use to test your understanding later? One special case in this problem is if m₂ =0, in which case block 1 would simply fall freely under the acceleration of gravity: a₁ = -gj Part A Consider another special case in which the inclined plane is vertical (0 = π/2). In this case, for what value of m₁ would the acceleration of the two blocks be equal to zero? Express your answer in terms of some or all of the variables m2 and g. [5] ΑΣΦ m₁ = Submit Request Answer www ?
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