My Math Forum Simple Harmonic Motion

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 February 16th, 2019, 05:40 AM #1 Member   Joined: Aug 2018 From: Nigeria Posts: 73 Thanks: 2 Simple Harmonic Motion Guys please how do i go about this questions? 1.Alex goes to bed at 7:00pm everyday.Is it an example of periodic motion?If yes,what is the time period?If no,why? 2.A particle executing S.H.M comes to rest at the extreme position.Is the resultant force on the particle zero at these position according to Newton's first law? 3.Describe the path of movement of a particle with displacement r=AcosWt(i-2j) Where r=displacement A=amplitude W=angular velocity t=time
 February 16th, 2019, 07:34 AM #2 Senior Member   Joined: Oct 2009 Posts: 771 Thanks: 277 You don't have any thoughts about this yourself? Thanks from topsquark
 February 18th, 2019, 10:56 AM #3 Senior Member     Joined: Nov 2015 From: United States of America Posts: 198 Thanks: 25 Math Focus: Calculus and Physics Some hints to get you going. 1. What is periodic motion? Something is repeating at a consistent time interval. Is that happening here? 2. When does a particle come to rest during SHM? Logically, it comes to rest twice (at the end points of motion). If we imagine a block on a spring during these instances, what would the force be on the block? Hint: Hooke's Law! $\vec{F}\ = -k\vec{x} \qquad$ If the origin is at the center of the system, at the end points (amplitude), will there be a restoring force? 3. How does a Cosine function with those arguments behave? Thanks from topsquark

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