A particle is executing a simple harmonic mot | vedclass

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

Question

(A) For a particle in simple harmonic motion,the maximum acceleration is given by $a_{\max} = \omega^2 A = \alpha$ $...(1)$The maximum velocity is giv

Vedclass · Accepted Answer

$\frac{\alpha}{2\pi\beta}$

Vedclass · Answer

(A) For a particle in simple harmonic motion,the maximum acceleration is given by $a_{\max} = \omega^2 A = \alpha$ $...(1)$The maximum velocity is given by $v_{\max} = \omega A = \beta$ $...(2)$Dividing equation $(1)$ by equation $(2)$,we get:$\frac{\omega^2 A}{\omega A} = \frac{\alpha}{\beta}$$\omega = \frac{\alpha}{\beta}$Since angular frequency $\omega = 2\pi f$,where $f$ is the frequency of vibration:$2\pi f = \frac{\alpha}{\beta}$$f = \frac{\alpha}{2\pi\beta}$

$A$ particle is executing a simple harmonic motion. Its maximum acceleration is $\alpha$ and maximum velocity is $\beta$. Then its frequency of vibration will be

Similar Questions

$A$ particle is performing $S.H.M.$ starting from the extreme position. The graphical representation shows that between displacement and acceleration,there is a phase difference of:

The acceleration-displacement graph of a particle executing $SHM$ is shown in the figure. The time period of the simple harmonic motion is:

If a simple harmonic oscillator has a displacement of $0.02\, m$ and an acceleration equal to $2.0\, m\, s^{-2}$ at any time,the angular frequency of the oscillator is equal to .... $rad\, s^{-1}$.

Which of the following quantities is always negative in a $SHM$?

Two simple harmonic motions of angular frequency $100 \, rad \, s^{-1}$ and $1000 \, rad \, s^{-1}$ have the same displacement amplitude. The ratio of their maximum acceleration is

Vedclass Test Series

Exam Paper Generator

Online Exam Module