- #1

Lanox

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- 0

## Homework Statement

Block "m1" sits on a horizontal frictionless surface. Block "m2" is hanging below the pulleys as shown. All of the pulleys are massless and frictionless. Given [m1, m2]. Determine:

a. The tension in each rope.

b. The acceleration of each block.

## Homework Equations

Sum(F) = ma

## The Attempt at a Solution

block m1:

F = m1a

Tension = m1a

block m2:

m2g - T - T = m2a

m2g - 2T = m2a

2T = m2g - m2a

*insert tension found through working block m1

2(m1a) = m2g - m2a

2m1a + m2a = m2g

a(2m1 + m2) = m2g

a = m2g/(2m1 + m2)

a. T = m1a

b. Acceleration = m2g/(2m1 + m2)

I've been been looking around the internet and asking my peers about this problem and we all seem to have varying answers. Could someone verify as to whether or not I'm doing this properly?

Thanks