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To determine the mass on the end of a spinning oscillation, we need additional information such as the length of the pendulum or the spring constant (depending on the nature of the oscillation). Without this information, it is not possible to calculate the mass accurately.

Regarding the maximum acceleration, we can make some assumptions based on general principles. In simple harmonic motion, the maximum acceleration occurs when the oscillating object is at its maximum displacement. The maximum acceleration can be calculated using the formula:

a_max = ω^2 * A

where a_max is the maximum acceleration, ω is the angular frequency (2π divided by the period), and A is the amplitude of the oscillation.

Given that the period is 3s and the amplitude is 2.4m, we can calculate the angular frequency:

ω = 2π / T = 2π / 3

Now we can substitute the values into the formula to find the maximum acceleration:

a_max = (2π / 3)^2 * 2.4

Calculating this expression gives you the value of the maximum acceleration in the appropriate units for your specific system.

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