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 ?
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 ?
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.
- Solve 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 \( m_2 \) that is pulled up a frictionless plane inclined at angle \( \theta \) with respect to the horizontal by a massless string that passes over a massless, frictionless pulley to a block of mass \( m_1 \) that is hanging vertically.
**Visualize the problem and identify special cases**
First examine the problem by drawing a picture and visualizing the motion. Apply Newton’s 2nd law, \( \sum \vec{F} = m \vec{a} \), 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 \( m_2 = 0 \), in which case block 1 would simply fall freely under the acceleration of gravity: \( \vec{a}_1 = -g \hat{j} \).
**Part A**
Consider another special case in which the inclined plane is vertical (\( \theta = \pi/2 \)). In this case, for what value of \( m_1 \) would the acceleration of the two blocks be equal to zero?
Express your answer in terms of some or all of the variables \( m_2 \) and \( g \).
\( m_1 = \) [Input field]
**Buttons:**
- Submit
- Request Answer
**Figure 1:**
An illustration of the setup with the inclined plane, block \( m_2](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F114d112a-89da-40ea-8ec8-a25f26317aff%2F435d047c-5fc6-4984-a3e9-d6162a2e8b4e%2Fs32cqsm_processed.png&w=3840&q=75)
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.
- Solve 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 \( m_2 \) that is pulled up a frictionless plane inclined at angle \( \theta \) with respect to the horizontal by a massless string that passes over a massless, frictionless pulley to a block of mass \( m_1 \) that is hanging vertically.
**Visualize the problem and identify special cases**
First examine the problem by drawing a picture and visualizing the motion. Apply Newton’s 2nd law, \( \sum \vec{F} = m \vec{a} \), 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 \( m_2 = 0 \), in which case block 1 would simply fall freely under the acceleration of gravity: \( \vec{a}_1 = -g \hat{j} \).
**Part A**
Consider another special case in which the inclined plane is vertical (\( \theta = \pi/2 \)). In this case, for what value of \( m_1 \) would the acceleration of the two blocks be equal to zero?
Express your answer in terms of some or all of the variables \( m_2 \) and \( g \).
\( m_1 = \) [Input field]
**Buttons:**
- Submit
- Request Answer
**Figure 1:**
An illustration of the setup with the inclined plane, block \( m_2
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