The maximum restoring force that can be applied to the disk without breaking it is 4 n. what is the maximum oscillation amplitude that won't rupture the disk

Since it follows a simple harmonic motion then the displacement of the oscillator follows the expression: x (t) = A cos (ω t + δ)

Then this gives that the formula for maximum acceleration is:

a = amax = A w^2

Where,

A = maximum amplitude of the wave

w = angular velocity

We also know that w is equivalent to: w = 2 π f

Therefore combining all and using the Newton’s 2nd law of motion:

F = m a

F = m A w^2

F = m A (2 π f)^2

A = F / m (2 π f)^2

Plugging in the given numbers:

A = 40,000 N / [(10^−4 kg) (2 π * 10^6 / s)^2]

A = 1.0132 * 10^-5 m

or simplifying

a is the best answer your welcome

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