## Two blocks A & B in which block B is firmly fixed on the ground & block A is firmly fixed on block B . Whether this system

Question

Two blocks A & B in which block B is firmly fixed on the ground & block A is firmly fixed on block B . Whether this system oscillates when you applied a force on block A ? What is the time period of oscillation ?

i) ii) iii) iv) in progress 0
2 months 2021-07-27T22:14:27+00:00 1 Answers 0 views 0

1. Yes, the system will have oscillation if a force F is applied on the block A.

Let’s suppose the system undergoes a very little displacement during oscillation ,let’s say We have shearing stress/strain( ) : As nothing is provided in the question, I took is shearing stress/strain

By definition of SHM, we have acceleration, where is a positive constant.

Now, we have, Equating [ii] and [iii], we have We also know that, time period of oscillation is : Comparing [i] and [iv], we have: Put this value of k in [v], we take Area = 1, as its not mentioned in the question, so the required time period is: 