Two particles A and B of equal masses are sus | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(C) The maximum velocity of a particle in simple harmonic motion is given by $V_{\max} = \omega A$,where $\omega$ is the angular frequency and $A$ is

Vedclass · Accepted Answer

$\sqrt{k_2/k_1}$

Vedclass · Answer

(C) The maximum velocity of a particle in simple harmonic motion is given by $V_{\max} = \omega A$,where $\omega$ is the angular frequency and $A$ is the amplitude.Given that the masses $M$ are equal,the angular frequencies are $\omega_1 = \sqrt{k_1/M}$ and $\omega_2 = \sqrt{k_2/M}$.Since the maximum velocities are equal,we have $V_{\max, 1} = V_{\max, 2}$,which implies $\omega_1 A_1 = \omega_2 A_2$.Therefore,the ratio of the amplitudes is $\frac{A_1}{A_2} = \frac{\omega_2}{\omega_1}$.Substituting the expressions for $\omega_1$ and $\omega_2$,we get $\frac{A_1}{A_2} = \frac{\sqrt{k_2/M}}{\sqrt{k_1/M}} = \sqrt{\frac{k_2}{k_1}}$.

Two particles $A$ and $B$ of equal masses are suspended from two massless springs of spring constants $k_1$ and $k_2$,respectively. If the maximum velocities during oscillations are equal,the ratio of amplitudes of $A$ and $B$ is

Similar Questions

The mass $M$ shown in the figure oscillates in simple harmonic motion with amplitude $A$. The amplitude of the point $P$ is

Find the time period of mass $M$ when displaced from its equilibrium position and then released for the system shown in the figure.

$A$ block of mass $m$ attached to one end of a vertical spring produces an extension $x$. If the block is pulled and released,the periodic time of oscillation is:

Two masses $m_1$ and $m_2$ are suspended together by a massless spring of constant $k$. When the masses are in equilibrium,$m_1$ is removed without disturbing the system. Then the angular frequency of oscillation of $m_2$ is

Two masses $m_1$ and $m_2$ are suspended together by a massless spring of constant $k$. When the masses are in equilibrium,$m_1$ is removed without disturbing the system; the amplitude of vibration is

Vedclass Test Series

Exam Paper Generator

Online Exam Module