A small bolt with a mass of 35.0 g sits on top of a piston. The piston is undergoing simple...

Question:

A small bolt with a mass of 35.0 g sits on top of a piston. The piston is undergoing simple harmonic motion in the vertical direction with a frequency of 3.05 Hz. What is the maximum amplitude with which the piston can oscillate without the bolt losing contact with the piston's surface?

Simple Harmonic Motion.

It is a to and fro motion of an object about a mean position. The restoring force acts on the object whose direction is towards the mean position called spring force. The magnitude of spring force is as follows :

  • F = (-kx).
  • k = spring constant.
  • x = displacement from the mean position.

Answer and Explanation:

  • {eq}\omega {/eq} = angular frequency.
  • f = frequency of motion = 3.05 Hz.
  • m = mass of bolt = 35 g = 0.035 kg.
  • g = 9.8 {eq}m/s^2 {/eq}.
  • A = maximum...

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Simple Harmonic Motion (SHM): Definition, Formulas & Examples

from AP Physics 1: Exam Prep

Chapter 11 / Lesson 2
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