question_answer

Both the springs shown in figure are unscratched. If the block is displaced by a distances and released, what will be the initial acceleration? [Hint: Net force acting on the block = force due to first spring + force due to second spring]

Answer:

                 The net force acting on the block \[F={{F}_{1}}+{{F}_{2}}\] \[={{k}_{1}}x+{{k}_{2}}x=-({{k}_{1}}+{{k}_{2}}x)\] \[\therefore a=\frac{({{k}_{1}}+{{k}_{2}})x}{m}m/{{s}^{2}}\] opposite to the displacement.