Pulley and Blocks: Is My Answer Correct?

hquang001 · 2021-02-27T20:39:11+00:00

1 Block m2: m2g - 2T = m2a2 (1) Block m1: ∑F= ma T= m1a1 = m1.2a2 (2) Cancel T in (1) and (2) I have : m2g = a2 (4m1 + m2) => a2 = m2g / (4m1 + m2) => a1 = 2m2g / (4m1 + m2) Is my answer correct ? Thank you

Thread starter hquang001
Start date Feb 27, 2021
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Blocks Pulley

AI Thread Summary

The discussion focuses on the calculations involving two blocks connected by a pulley system. The user derives equations for the tensions and accelerations of the blocks, ultimately expressing the acceleration of block m2 as a2 = m2g / (4m1 + m2) and that of block m1 as a1 = 2m2g / (4m1 + m2). Other participants confirm the correctness of these calculations. The consensus indicates that the user's approach and final answers are accurate. The thread highlights the importance of proper application of Newton's laws in solving pulley problems.

Feb 27, 2021

hquang001

Homework Statement: In term of m1, m2 and g, find the acceleration of each block. There is no friction anywhere in the system

Relevant Equations: ∑F= ma

Block m2:
m2g - 2T = m2a2 (1)
Block m1:
∑F= ma
T= m1a1 = m1.2a2 (2)

Cancel T in (1) and (2) I have :
m2g = a2 (4m1 + m2) => a2 = m2g / (4m1 + m2)

=> a1 = 2m2g / (4m1 + m2)

Is my answer correct ? Thank you

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Feb 27, 2021

TSny

Science Advisor

Homework Helper

Gold Member

Your work looks correct to me.

Feb 27, 2021

hquang001

TSny said:

Your work looks correct to me.

Thank you

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