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AP EAMCET201822 Apr 2018Morning ShiftPhysicsMotion in Two DimensionsActual

A body is projected with a speed u at an angle with the horizontal. The radius of curvature of the trajectory, when it makes an angle ( 2 ) with the horizontal is ( g -acceleration due to gravity)

Options

  1. Au^2 ^2 ^3 ( 2 ) 3 g
  2. Bu^2 ^2 ^3 ( 2 ) 2 g
  3. C2 u^2 ^3 ^2 ( 2 ) g
  4. Du^2 ^2 ^3 ( 2 ) g

Correct answer

D. u^2 ^2 ^3 ( 2 ) g

Step-by-step solution

Let velocity of projectile is v at an angle 2 with horizontal aligned & v 2 =u or v & = u 2 aligned As horizontal component remains same. Also, centripetal force is provided by the component of weight. So, m v^2 r =m g 2 Hence, radius of curvature of path, aligned r & = v^2 g 2 & = ( 2 )^2 g 2 r= u^2 ^2 ^3 ( 2 ) g aligned

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