- #1

Neolight

## Homework Statement

In the figure shown if the system is released from rest, acceleration of block B will be

(a). g/2

(b). g/3

(c). 2g/3

(d). g/7

## Homework Equations

ma= F[net]

taking the direction of motion as positive

## The Attempt at a Solution

So my attempt was to first find tension in the string connected to Mass 3M from

3Ma= 3Mg-T

T= 3M(g-a)

now the tension in the second string connected to the M say T1 is half of T ( am i correct?)

so

T1= T/2= 3Mg/2 - 3Ma/2

now equation of motion for the mass M

Ma= T1-Mg

Ma= M(3g/2 -3a/2 -g)

a = 3g/2 - g - 3a/2

a + 3a/2 = 3g/2 -g

5a/2= g/2

∴ a= g/5

where did i go wrong , because i looked up the answer and it is g/7

please help...

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