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Two simple harmonic motions are representedby equationy1=10sin (4×22÷7t+22÷7÷4)and y2=5 (sin 322÷7t+root3cos322÷7t).their amplitudes are in what ratio

vaangmai sriram , 6 Years ago
Grade 9
anser 2 Answers
Arun

Last Activity: 6 Years ago

Dear student
 
y1 = 10 sin (4*pi*t + pi/4)
y2 = 5 sin 3*pi*t + sqrt(3) cos 3*pi*t
y2 = \sqrt34 sin (3*pi*t + @) 
 Hence ratio of amplitude of y1 and y2
 = 10/\sqrt34
 
Regards
Arun (askIITians forum expert)

Kushagra Madhukar

Last Activity: 4 Years ago

Dear student,
Please find the solution to your problem.
 
y1 = 10 sin (4πt + π/4)
y2 = 5 sin 3πt + 3 cos 3πt
y2 = 34 sin (3πt + @) 
 Hence ratio of amplitude of y1 and y2
 = 10/34
 
Thanks and regards,
Kushagra

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