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Blocks of mass m 1 and m 2 are connected by a massless
Chapter 12, Problem 70P(choose chapter or problem)
Blocks of mass \(m_{1}\) and \(m_{2}\) are connected by a massless string that passes over the pulley in FIGURE P12.70. The pulley turns on frictionless bearings. Mass \(m_{1}\) slides on a horizontal, frictionless surface. Mass \(m_{2}\) is released while the blocks are at rest.
a. Assume the pulley is massless. Find the acceleration of \(m_{1}\) and the tension in the string. This is a Chapter 7 review problem.
b. Suppose the pulley has mass \(m_{\mathrm{p}}\) and radius \(R\). Find the acceleration of \(m_{1}\) and the tensions in the upper and lower portions of the string. Verify that your answers agree with part a if you set \(m_{\mathrm{p}}=0\).
Equation Transcription:
Text Transcription:
m_1
m_2
m_p
R
m_p=0
Questions & Answers
QUESTION:
Blocks of mass \(m_{1}\) and \(m_{2}\) are connected by a massless string that passes over the pulley in FIGURE P12.70. The pulley turns on frictionless bearings. Mass \(m_{1}\) slides on a horizontal, frictionless surface. Mass \(m_{2}\) is released while the blocks are at rest.
a. Assume the pulley is massless. Find the acceleration of \(m_{1}\) and the tension in the string. This is a Chapter 7 review problem.
b. Suppose the pulley has mass \(m_{\mathrm{p}}\) and radius \(R\). Find the acceleration of \(m_{1}\) and the tensions in the upper and lower portions of the string. Verify that your answers agree with part a if you set \(m_{\mathrm{p}}=0\).
Equation Transcription:
Text Transcription:
m_1
m_2
m_p
R
m_p=0
ANSWER:
Step 1 of 4
a)
Here we have to find the acceleration of and the tension in the string.
We have worked out this type of problem many times already. As the acceleration is downwards,
---------(1)
And ------(2)
Because, the acceleration for both the blocks must be the same.
Now, from (1) and (2),
-----------(3)
And
------------(4)
The above two equations represent the acceleration and the tension in the string.