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how to calculate time period of spring block systems

how to calculate time period of spring block systems

Grade:11

3 Answers

Nirmal Singh.
askIITians Faculty 44 Points
10 years ago

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The Hooke’s law governing an ideal spring relates spring force with displacement as :
F=-kx --------------------------------------(i)
By Newton’s second law, F =ma --------------------------------(ii)
Combining with Newton’s second law,
?F=ma=-kx
so a = -kx/m -----------------------------(iii)
Now, comparing with SHM relation “ a = -?2x ”, we have : \
? - w2 x = - kx/m
w2 = k/m\
 w = squreroot (k/m)
since w =2pie/ T
theregore 2pie/T = squreroot (k/m)
T = 2pie squreroot (m/k)
Thanks & Regards,
Nirmal Singh,
askIITians Faculty.

Mukesh Sharma
askIITians Faculty 43 Points
10 years ago
The first step is to drive an equation between force and displacement or between acceleration and displacement. We, then, use standard expression to determine time period and frequency
for example

Combining with Newton’s second law,
f=ma=- kx
a=-k/m * x
Now, comparing with SHM relation
a=w2 x

Thanks & Regards
Mukesh Sharma
askIITians Faculty
Sunil Raikwar
askIITians Faculty 45 Points
10 years ago
Dear Student, There is a technical issue so please post the question again. askIITian faculty

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