Question 125: Oscillations

Question

A simple harmonic motion is represented by :
y = 5 (sin 3 $$\pi $$ t + $$\sqrt 3 $$ cos 3 $$\pi $$t) cm
The amplitude and time period of the motion are :

Accepted Answer

y = 5[sin(3$$\pi $$t) + $$\sqrt 3 $$cos(3$$\pi $$t)]
= 10sin $$\left( {3\pi t + {\pi  \over 3}} \right)$$
Amplitude = 10 cm
T = $${{2\pi } \over w}$$ = $${{2\pi } \over {3\pi }}$$ = $${2 \over 3}$$ sec

Answer

10 cm, $${3 \over 2}$$ s

Answer

5 cm, $${2 \over 3}$$ s

Answer

5 cm, $${3 \over 2}$$ s

Answer

10 cm, $${2 \over 3}$$ s

Oscillations

A simple harmonic motion is represented by : y = 5 (sin 3 $\pi t + \sqrt 3 cos 3 \pi $t) cm The amplitude and time period of the motion are :

Choose the correct answer: