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

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter12: Oscillatory Motion

Section: Chapter Questions

Problem 17P: A block of unknown mass is attached to a spring with a spring constant of 6.50 N/m and undergoes...

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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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