In the reported figure, two bodies A and B of masses 200, {g} and 800, {g} are attached with the system of springs. Springs are

Q: In the reported figure, two bodies $A$ and $B$ of masses $200\, {g}$ and $800\, {g}$ are attached with the system of springs. Springs are kept in a stretched position with some extension when the system is released. The horizontal surface is assumed to be frictionless. The angular frequency will be $.....\,{rad} / {s}$ when ${k}=20 \,{N} / {m} .$

c $\omega=\sqrt{\frac{k_{\text {eq }}}{\mu}}$ $\mu=$ reduced mass springs are in series connection $k _{eq}=\frac{ k _{1} k _{2}}{ k _{1}+ k _{2}}$ $k _{ eq }=\frac{ k \times 4 k }{5 k }=\frac{4 k }{5}$ $k _{ eq }=\frac{4 \times 20}{5} N / m =16 N / m$ $\mu=\frac{ m _{1} m _{2}}{ m _{1}+ m _{2}}=\frac{0.2 \times 0.8}{0.2+0.8}=0.16 kg$ $\omega=\sqrt{\frac{16}{0.16}}=\sqrt{100}=10$

SECTION - A [PHYSICS - MCQ]

GSEB - English Medium

In the reported figure, two bodies $A$ and $B$ of masses $200\, {g}$ and $800\, {g}$ are attached with the system of springs. Springs are kept in a stretched position with some extension when the system is released. The horizontal surface is assumed to be frictionless. The angular frequency will be $.....\,{rad} / {s}$ when ${k}=20 \,{N} / {m} .$

A$100$
B$20$
C$10$
D$30$

JEE MAIN 2021, Diffcult

STD 11 Science
NEET
STD 11 - 13. oscillations
Physics

Download our app
and get started for free

Experience the future of education. Simply download our apps or reach out to us for more information. Let's shape the future of learning together!No signup needed.*

Download App

Similar Questions

1
A mass m is suspended from a spring of length l and force constant $K$. The frequency of vibration of the mass is ${f_1}$. The spring is cut into two equal parts and the same mass is suspended from one of the parts. The new frequency of vibration of mass is ${f_2}$. Which of the following relations between the frequencies is correct
View Solution
2
Assuming all pulleys, springs and string massless. Consider all surface smooth. Choose the correct statement $(s)$
View Solution
3
A particle executes simple harmonic motion (amplitude $= A$) between $x = - A$ and $x = + A$. The time taken for it to go from $0$ to $A/2$ is ${T_1}$ and to go from $A/2$ to $A$ is ${T_2}$. Then
View Solution
4
An assembly of identical spring-mass systems is placed on a smooth horizontal surface as shown. At this instant, the springs are relaxed. The left mass is displaced to the/left and theiright mass is displaced to the right by same distance and released. The resulting collision is elastic. The time period of the oscillations of system is
View Solution
5
The time period of a particle executing $S.H.M.$ is $8 \,s$. At $t=0$ it is at the mean position. The ratio of distance covered by the particle in $1^{\text {st }}$ second to the $2^{\text {nd }}$ second is .............. $s$
View Solution
6
A particle is doing simple harmonic motion of amplitude $0.06 \mathrm{~m}$ and time period $3.14 \mathrm{~s}$. The maximum velocity of the particle is. . . . .. . $\mathrm{cm} / \mathrm{s}$.
View Solution
7
A body is vibrating in simple harmonic motion with an amplitude of $0.06\, m$ and frequency of $15\, Hz$. The velocity and acceleration of body is
View Solution
8
The motion of a particle represented by $y\ =$ $\sin \omega t - \cos \omega t$ is
View Solution
9
The maximum velocity and the maximum acceleration of a body moving in a simple harmonic oscillator are $2\,m/s$ and $4\,m/{s^2}.$ Then angular velocity will be ..... $rad/sec$
View Solution
10
The maximum speed of a particle executing $S.H.M.$ is $1\,m/s$ and its maximum acceleration is $1.57\,m/se{c^2}$. The time period of the particle will be .... $\sec$
View Solution

Download our appand get started for free

Similar Questions

Download our app
and get started for free