6. A particle P of mass m slides down a smooth track from a height H and it collides with a wedge W which is initially a

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6 A Particle P Of Mass M Slides Down A Smooth Track From A Height H And It Collides With A Wedge W Which Is Initially A 1 (41.58 KiB) Viewed 59 times

6. A particle P of mass m slides down a smooth track from a height H and it collides with a wedge W which is initially at rest on the smooth and horizontal plane. The wedge is free to move and it has mass M. The lowest point of the track meets the circular surface of the wedge tangentially. The wedge has a horizontal platform of length h and a circular surface having a subtended angle 45° from 0, as shown in the figure. The maximum height of the wedge is h. All surfaces on the wedge are frictionless. P Smooth track H 0 45° Smooth plane (a) Show that the horizontal speed of the particle relative to the wedge when the particle just leaves the circular surface is given by 29 (MH - Mh-mh) 2M + m