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Answer:
T = 2 π / √ 3
v_max = 2 √ 3 m / sec
a_max = - 6 m / sec²
Explanation:
Given :
Amplitude A = 2 cm
Displacement of particle from mean position x = 1 cm
It is said acceleration is equal to velocity of particle.
ω ( √ A² - x² ) = ω² x
ω x = ( √ A² - x² )
Putting value here :
ω = ( √ 4 - 1 )
ω = √ 3
We know :
ω = 2 π / T
T = 2 π / √ 3 .
Now for :
v_max = A ω
v_max = 2 × √ 3
v_max = 2 √ 3 m / sec
For a_max = - A ω²
a_max = - 2 ( √ 3 )²
a_max = - 6 m / sec²
Hence we get answer.
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