Edit View History Bookmarks Window Help CH1 Problem 11.37 Problem 11.37 Part A A

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Edit View History Bookmarks Window Help CH1 Problem 11.37 Problem 11.37 Part A A harmonic oscilator is made by using a 0.600 kg frictionless block and an ideal spring of unknown force constant. The oscillator is found to have a period of 0.146 s and a maximum speed of 2 m/s Find the force constant of the spring Express your answer to three significant figures k23.56 N/m My Answers Give Up Incorrect; Try Again; 4 attempts remaining Part B Find the amplitude of the oscilation Express your answer to three significant figures. My Answers Give Up 17

Explanation / Answer

a)

Time period of a simple harmonic motion

T=2pisqrt(m/K)

force constant of the spring

K=4pi2m/T2

K=4pi2*0.6/0.1462

K=1111.23 N/m

b)

since Maximum speed

Vmax =AW=A*sqrt(K/m)

Amplitude of the oscillation

A=Vmax/sqrt(K/m) =2/sqrt(1111.23/0.6)

A=46.47 mm

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