InterviewSolution
Saved Bookmarks
InterviewSolution
| 1. |
A small ball is rolled with speed `u` from piont A along a smooth circular track as shown in figure. If `x=3R`, then Determine the required speed u so that the ball returns to A, the point of projection after passing through C, the highest point.A. (a) `3/2sqrt(gR)`B. (b) `1/2sqrt(gR)`C. (c) `5/3sqrt(gR)`D. (d) `5/2sqrt(gR)` |
|
Answer» Correct Answer - D Let the velocity at the point is `v_C`. Then for projectile motion from C to A, `Rang e=v_csqrt((2(height))/(g))implies3R=v_csqrt((2xx2R)/(g))` `impliesv_C=3/2sqrt(Rg)` To find velocity at B, apply conservation of energy, i.e., `=1/2mv_B^2=mg2R+1/2mv_C^2=V_B=5/2sqrt(Rg)` |
|