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# A body is executing shm when its displacement from the mean position is 4 cm and 5cm the corresponding velocity of the body is 10cm/sec and 8cm/sec Then the time period of the body is

Rohith Gandhi
24 Points
11 years ago

Dear Pallavi,

Please feel free to post as many doubts on our discussion forum as you can. If you find any question
Difficult to understand - post it here and we will get you the answer and detailed solution very quickly. We

All the best Pallavi !!!

Regards,

Rohith Gandhi P

one year ago
Dear student,

v = ω√(A2−x2)
⇒8 = ω√(A2−25)   &   10 = ω√(A2−16)
Dividing both equations
(8/10​)2 = (A2−16)/(A2−25)
⇒16/25 ​= (A2−25)/(A2−16)
⇒16A2−256 = 25A2−625
⇒9A2 = 369
A2 = 41
Hence, 8 = ω√(41−25)
or, 8 = 4ω
∴ω = 2 = 2π​/T
T = π sec​
∴ Option C is correct.

Thanks and regards,
Kushagra