Problem

A demonstration setup consists of a uniform board of length L, hinged at the bottom end an...

A demonstration setup consists of a uniform board of length L, hinged at the bottom end and elevated at an angle θ by means of a support stick. A ball rests at the elevated end, and a light cup is attached to the board at the distance d from the elevated end to catch the ball when the stick supporting the hoard is suddenly removed. You want to use a thin hinged board 1.00 m long and 10.0 cm wide, and you plan to have the vertical support stick located right at its elevated end.

a) How long should you make the support stick so that the ball has a chance to be caught?


b)Assume that you choose to use the longest possible support stick placed at the elevated end of the board. What distance d from that end should the cup be located to ensure that the ball will be caught in the cup?

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