Question 130: Oscillations

Question

A particle undergoing simple harmonic motion has time dependent displacement given by x(t) = Asin$${{\pi t} \over {90}}$$. The ratio of kinetic to potential energy of this particle at t = 210 s will be:

Accepted Answer

K = $${1 \over 2}$$m$${\omega ^2}$$A
2
cos
2
$$\omega $$t
U = $${1 \over 2}m{\omega ^2}$$ A
2
sin
2
$$\omega $$t
$${k \over U}$$ = cot
2
$$\omega $$t = cot
2
$${\pi  \over {90}}$$(210) = $${1 \over 3}$$
Hence ratio is 3 (most appropriate)

Answer

$${1 \over 9}$$

Answer

3

Answer

2

Answer

1

Oscillations

A particle undergoing simple harmonic motion has time dependent displacement given by x(t) = Asin${{\pi t} \over {90}}$. The ratio of kinetic to potential energy of this particle at t = 210 s will be:

Choose the correct answer: