A cat is sleeping on a platform that oscillates from side to side in SHM. The combined mass of the cat and platform is 5.00 kg, and the force constant of the horizontal spring attached to the platform that makes it oscillate is 185 N/m. Ignore friction. (a) What is the frequency of the oscillation? (b) The cat will wake up if the acceleration of the platform is greater than 1.52 m/s2. What is the maximum amplitude of oscillation that will allow the cat to stay asleep?

A cat is sleeping on a platform that oscillates from side to side in SHM. The combined mass of the cat and platform is 5.00 kg, and the force constant of the horizontal spring attached to the platform that makes it oscillate is 185 N/m. Ignore friction. (a) What is the frequency of the oscillation? (b) The cat will wake up if the acceleration of the platform is greater than 1.52 m/s2. What is the maximum amplitude of oscillation that will allow the cat to stay asleep?

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Question

A cat is sleeping on a platform that oscillates from side to
side in SHM. The combined mass of the cat and platform is 5.00 kg,
and the force constant of the horizontal spring attached to the platform
that makes it oscillate is 185 N/m. Ignore friction. (a) What is
the frequency of the oscillation? (b) The cat will wake up if the acceleration
of the platform is greater than 1.52 m/s2. What is the maximum
amplitude of oscillation that will allow the cat to stay asleep?

Definition Definition Special type of oscillation where the force of restoration is directly proportional to the displacement of the object from its mean or initial position. If an object is in motion such that the acceleration of the object is directly proportional to its displacement (which helps the moving object return to its resting position) then the object is said to undergo a simple harmonic motion. An object undergoing SHM always moves like a wave.

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