Assignment No. ( 3 ) pdf

# Assignment No. ( 3 ) pdf - 1 Assignment No 3 Kinematics of...

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1 Assignment No. ( 3 ) : Kinematics of plane motion Cartesian coordinates 1. The parametric equations of the plane motion of a particle are : x = 16t , y = 12t – 5t 2 where x, y are in meters and t is in seconds . Determine : a–the time, the position and the velocity when the particle’s path intersects the horizontal x–axis b – the maximum height of the path above the horizontal x – axis and the velocity of the particle at the maximum height . 2. The parametric equations of a particle` s path are given by : x = a cos 2 t , y = a sin 2 t where a is constant .Determine : a – the initial conditions . b – the equation of the path . c-the acceleration of the particle at the points of zero velocity . 3. The Cartesian equation of the path of a particle is given by : x 8 y 2 = , where x,y are in meters . The initial conditions of the motion are ) 0 , 0 ( ) y , x ( , ) 4 , 2 ( ) y , x ( o o 0 0 = = and the y – component of acceleration is y 4 y = m/s 2 . Determine : a – the parametric equations of the path. b – the time interval between two successive positions of zero velocity.

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Assignment No. ( 3 ) pdf - 1 Assignment No 3 Kinematics of...

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