Answered: 2) The needle of a 1992 Janome sewing…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter13: Vibrations And Waves

Section: Chapter Questions

Problem 75AP: A 2.00-kg block hangs without vibrating at the end of a spring (k = 500. N/m) that is attached to...

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Question

2) The needle of a 1992 Janome sewing machine moves up and down in simple harmonic motion with frequency f = 10 Hz and an amplitude of 0.10 m. At t = 0.00 s the sewing is at x = 0.00 m.

A) Find the angular frequency of the sewing?

B) How long does it take the swing to go from x=0.00 m to x = 0.050 m.

C) What is the maximum speed of the needle?

D) What is the maximum acceleration of the needle?

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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