Question

'A certain block,; attached to a spring; is observed to have a frequency of 4.2 Hz in SHM If at t = 0 (the start of observation), the block is given an initial velocity of v = (0.7 m/s) i, and an initial displacement of x = 0.02 m in the +X axis, calculate the amplitude (in meters) of the block Final answer in two decimal places' 

          'A certain block,; attached to a spring; is observed to have a frequency of 4.2 Hz in SHM If at t = 0 (the start of observation), the block is given an initial velocity of v = (0.7 m/s) i, and an initial displacement of x = 0.02 m in the +X axis, calculate the amplitude (in meters) of the block
Final answer in two decimal places'
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Added by April H.

University Physics with Modern Physics
University Physics with Modern Physics
Hugh D. Young 14th Edition
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'A certain block,; attached to a spring; is observed to have a frequency of 4.2 Hz in SHM If at t = 0 (the start of observation), the block is given an initial velocity of v = (0.7 m/s) i, and an initial displacement of x = 0.02 m in the +X axis, calculate the amplitude (in meters) of the block Final answer in two decimal places'
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Transcript

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00:01 In this question the value of the frequency is given which is 4 .2 hertz then the speed of the block is given which is v is equal to 0 .7 meter per second the value of the displacement is given which is 0 .02 meter so we have to find the amplitude of the block so first we will find the value of the angular frequency which will be given by 2 pi multiply by frequency 2 pi f is 4 .2 hertz so here we will get the value of the angular frequency is equal to the 26 .376 radian per second now further solving here we can write this the initial speed of the the block is equal to the a square minus x square multiplication of omega square.
01:11 We have to find a square.
01:13 So here we can write this, a square minus x square...
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