# The Physics of Spiderman's Swing

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Can Spiderman land at the blue mark?

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Contributed by: Stelios Kapranidis and Ron Ruszczyk (April 2014)

Open content licensed under CC BY-NC-SA

## Snapshots

## Details

The motion of the pendulum of length can be determined by using the principle of conservation of mechanical energy

,

which gives

.

.

The solution of this differential equation gives the time it takes the pendulum to reach a position . Using the inverse of this function, , we find the position of the pendulum at time as

,

.

When the bob is released at time at position , the projectile motion of the bob is given by the equations

,

,

where the velocity .

## Permanent Citation