
Concept explainers
To Calculate: The maximum possible amplitude of the oscillations.

Answer to Problem 84GP
The maximum possible amplitude of the oscillations is
Explanation of Solution
Given info:
The mass of the first block is,
The spring constant is,
The static friction coefficient is 0.30.
Formula used:
The acceleration in the
Where, the angular frequency is
The angular frequency is given as,
Where, k is the spring constant and
Calculation:
Due to the static friction, the block with mass m is stayed on the block with mass M without slipping. So, they are executing the simple harmonic motion with respect to the ground. So, a maximum static frictional force is exerted on the mass ‘m’which is given as,
The mass m block gets accelerated due to the frictional force.
But according to the simple harmonic oscillations, the acceleration is given as,
Now, by comparing these two expressions of the acceleration with each other, the results equation is
From this equation, here the amplitude of the wave is determined in such a way that,
Conclusion:
The amplitude is
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