## 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)

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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: