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Hi, i'm new here. I have a problem.

A box has the mass m, held by two horizontal ropes and two vertical ropes. The box is inside a still car. If the car accelerated suddenly with the accekeration of a then the box will remain still inside the car. What is :

a. The acceleration of the box/car? (state it in t1, t2, t3, t4 and g)

b. The separation after the time t? (state it in t1, t2, t3, t4, t and g)

The illustration is here -> xttp://i31.tinypic.com/izvnev.jpg (change x to h)

[tex]\Sigma F = ma[/tex]

a.

t3 + t1 = ma

m = (t3 + t1)/a (1)

t4 + t2 = mg

m = (t4 + t2)/g (2)

(t3 + t1)/a = (t4 + t2)/g

a = g(t3 + t1)/ t4 + t2 (3)

b.

S = Vt

S = a * t * t

S = (g(t3 + t1)/ t4 + t2) * t^2

S = g (t^2) ((t3 + t1)/(t4 + t2))

I actually don't really know how the tensions work. I hope someone can explain it to me. And sorry, i'm not used to using latex yet.

## Homework Statement

A box has the mass m, held by two horizontal ropes and two vertical ropes. The box is inside a still car. If the car accelerated suddenly with the accekeration of a then the box will remain still inside the car. What is :

a. The acceleration of the box/car? (state it in t1, t2, t3, t4 and g)

b. The separation after the time t? (state it in t1, t2, t3, t4, t and g)

The illustration is here -> xttp://i31.tinypic.com/izvnev.jpg (change x to h)

## Homework Equations

[tex]\Sigma F = ma[/tex]

## The Attempt at a Solution

a.

t3 + t1 = ma

m = (t3 + t1)/a (1)

t4 + t2 = mg

m = (t4 + t2)/g (2)

(t3 + t1)/a = (t4 + t2)/g

a = g(t3 + t1)/ t4 + t2 (3)

b.

S = Vt

S = a * t * t

S = (g(t3 + t1)/ t4 + t2) * t^2

S = g (t^2) ((t3 + t1)/(t4 + t2))

I actually don't really know how the tensions work. I hope someone can explain it to me. And sorry, i'm not used to using latex yet.

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