Physics - SHM Question with Solution | TestHub
In all the situations shown in List-I, blocks are connected with an ideal spring of constant K. Initially they are at rest and the spring is unstretched (neglect friction). Match the corresponding options in List-II.
List-I | List-II |
|---|---|
(I) | (P) Maximum elongation in the spring is |
(II) | (Q) Magnitude of acceleration of centre of mass of the two-block system is |
(III) | (R) Relative velocity of the blocks is maximum when elongation in the spring is |
(IV) | (S) Maximum magnitude of relative velocity between the blocks is |
| (T) None of these |
Options:
Answer:
Solution:
I: equal and opposite F, so the COM is fixed; relative motion oscillates about equilibrium elongation F/K, where the relative velocity is maximum → R.
II: net external force is F, so COM acceleration = F/3m → Q.
III: equal and opposite 2F: amplitude 2F/K, so maximum relative velocity = → S.
IV: only 2F on 2m: equilibrium elongation 2F/3K and equal amplitude, so maximum elongation = 4F/3K → P. Option C.
