Question 89: Oscillations

Question

Two massless springs with spring constants 2 k and 9 k, carry 50 g and 100 g masses at their free ends. These two masses oscillate vertically such that their maximum velocities are equal. Then, the ratio of their respective amplitudes will be :

Accepted Answer

$${\omega _1}{A_1} = {\omega _2}{A_2}$$
$$ \Rightarrow {{{A_1}} \over {{A_2}}} = {{{\omega _2}} \over {{\omega _1}}}$$
$$ = \sqrt {{{{k_2}} \over {{m_2}}}}  	imes \sqrt {{{{m_1}} \over {{k_1}}}}  = \sqrt {{{9k} \over {100}} 	imes {{50} \over {2k}}}  = {3 \over 2}$$

Answer

1 : 2

Answer

3 : 2

Answer

3 : 1

Answer

2 : 3

Oscillations

Two massless springs with spring constants 2 k and 9 k, carry 50 g and 100 g masses at their free ends. These two masses oscillate vertically such that their maximum velocities are equal. Then, the ratio of their respective amplitudes will be :

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