Two simple harmonic motions of angular freque | vedclass

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

Question

(B) The maximum acceleration of a particle in simple harmonic motion is given by the formula $a_{\max} = \omega^{2} A$,where $\omega$ is the angular f

Vedclass · Accepted Answer

$1: 10^{2}$

Vedclass · Answer

(B) The maximum acceleration of a particle in simple harmonic motion is given by the formula $a_{\max} = \omega^{2} A$,where $\omega$ is the angular frequency and $A$ is the amplitude.Given that the amplitudes $A$ are the same for both motions,the ratio of their maximum accelerations is:$\frac{(a_{\max})_{1}}{(a_{\max})_{2}} = \frac{\omega_{1}^{2} A}{\omega_{2}^{2} A} = \frac{\omega_{1}^{2}}{\omega_{2}^{2}}$Substituting the given values $\omega_{1} = 100 \ rad \ s^{-1}$ and $\omega_{2} = 1000 \ rad \ s^{-1}$:$\frac{(a_{\max})_{1}}{(a_{\max})_{2}} = \frac{(100)^{2}}{(1000)^{2}} = \left(\frac{100}{1000}\right)^{2} = \left(\frac{1}{10}\right)^{2} = \frac{1}{100} = 1: 10^{2}$

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

Similar Questions

Two lithium nuclei in a lithium vapour at room temperature do not combine to form a carbon nucleus because

In the given circuit, the current flowing through it is: (in $ A$)

If the equation $ax^2 + 2hxy + by^2 + 2gx + 2fy + c = 0$ represents a pair of straight lines,then the square of the distance of their point of intersection from the origin is

An object takes $n$ times as much time to slide down a $45^{\circ}$ rough inclined plane as it takes to slide down a perfectly smooth inclined plane of the same inclination. The coefficient of kinetic friction between the object and the rough incline is given by:

With a standard rectangular bar magnet of length $l$,breadth $b$ $(b \ll l)$,and magnetic moment $M$,the time period of the magnet in a vibration magnetometer is $4 \ s$. If the magnet is cut normal to its length into four equal pieces,the time period (in seconds) with one of the pieces is:

Vedclass Test Series

Exam Paper Generator

Online Exam Module