Saved Bookmarks
| 1. |
A metallic plate has been fabricated by welding two semicircular discs - D_(1)and D_(2)of radii R and(R)/(2) respectively (fig. a). O and O' are the centreof curvature of the two discs and each disc has a mass 6m. The plate is in xy plane. Now the plate is folded along the y axis so as to bring the part OAB in yz plane. (fig. b). The plate is now set free to be able to rotate freely about the z – axis. A particle of mass m, moving with a velocity v in the xy plane along the line x = dhits the plate and sticks to it (d lt R) . Just before collision speed of the particle was v. (a) (a) Find the moment of inertia of inertia of the plate about z axis. (b) Find the angular speed of the plate after collision. |
|
Answer» (B) `omega = (2vd)/(11R^(2))` |
|