I am trying to manipulate a formula to get a known answer — only I am not getting it:(adsbygoogle = window.adsbygoogle || []).push({});

The necessary information: Two small blocks, each of massm, are connected by a string of constant length 4h, with negligible mass. Block A is placed on a smooth tabletop (no friction), and block B hangs over the edge of the table. The tabletop is a distance 2h above the floor. Block B is then released from rest at a distance h above the floor at T=0. Express all algebraic answers in terms of h, m, and g.

On to the problem I am stuck on: Block B strikes the floor and does not bounce. Determine the time t1 at which block B strikes the floor.

Now, the known answer is [tex]t_1=2\sqrt\frac{h}{g}[/tex]

My attempted work goes as follows: I begin with the equation [itex]d=\frac{1}{2}gt^2[/itex] (falling body), getting [itex]t^2[/itex] by itself, I end up with the equation:

[tex]t^2=\frac{h}{.5g}[/tex]

taking the square root of both sides then, I get

[tex]t=\sqrt\frac{h}{.5g}[/tex]

If I got the steps right so far, I am completely at a loss as to what to do now.

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# Formula Manipulation

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