A particle is executing SHM. Find the positions of the particle where its speed is 8 cm/s, If maximum magnitudes of its velocity and acceleration are 10 cm/s and 50 cm/s 2 respectively.
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
(
cm = ± 1.2 cm from the mean position)
|v| = |A| ꞷ
⇒ 10 = |A| ꞷ
|a| = |A| ꞷ 2
⇒ 50 = |A| ꞷ 2
⇒ ꞷ = 5
⇒ |A| = 2
v 2 = ꞷ 2 (A 2 – x 2 )
8 2 = 5 2 (2 2 – x 2 )
4 – x 2 = 
⇒ x 2 = 
⇒ x =
cm
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