Q.

A projectile is projected at an angle of 600  with the horizontal with speed of 10 m/s. The minimum radius of curvature of the trajectory described by the projectile is

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Detailed Solution

The radius of curvature is minimum at the highest point where the centripetal force = mg And speed V = u cos αNow mV2ρ=mg⇒ucosα2ρ=g ⇒ρ=u2cos2α/g ⇒  ρmin = ucosα2g  = 10cos60029.8  m=2.55  m.
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A projectile is projected at an angle of 600  with the horizontal with speed of 10 m/s. The minimum radius of curvature of the trajectory described by the projectile is