Question 209: Oscillations

Question

A particle executes simple harmonic motion. Its amplitude is 8 cm and time period is 6 s. The time it will take to travel from its position of maximum displacement to the point corresponding to half of its amplitude, is ___________ s.

Accepted Answer

A = 8 cm
T = 6 s
$$A\cos \left( {{{2\pi t} \over T}} \right) = {A \over 2}$$
$$ \Rightarrow {{2\pi t} \over T} = {\pi  \over 3}$$
or $$t = {T \over 6} = 1\,s$$

Oscillations

A particle executes simple harmonic motion. Its amplitude is 8 cm and time period is 6 s. The time it will take to travel from its position of maximum displacement to the point corresponding to half of its amplitude, is ___________ s.

Choose the correct answer: