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Classical Mechanics Level 5

Gabriel the Grenadier wants to lob a grenade over a huge barrier in front of him. He models the scenario in the following way:

The grenade is a point mass that is thrown with a variable velocity \(u\), at a variable angle \(\theta\). The barrier is a cylinder with a radius of \(R= 2m\).

Find the minimum value of \(u\) (in meters) for which the particle crosses the log.

Details and assumptions

Neglect air resistance and viscosity.
Take \(g=9.8 m/s^2\).


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