What will be the force constant of the spring system shown in the figure
Medium
Download our app for free and get started
(b)In series combination
$\frac{1}{{{k_S}}} = \frac{1}{{2{k_1}}} + \frac{1}{{{k_2}}}$
==> ${k_S} = {\left[ {\frac{1}{{2{k_1}}} + \frac{1}{{{k_2}}}} \right]^{ - 1}}$
$\frac{1}{{{k_S}}} = \frac{1}{{2{k_1}}} + \frac{1}{{{k_2}}}$
==> ${k_S} = {\left[ {\frac{1}{{2{k_1}}} + \frac{1}{{{k_2}}}} \right]^{ - 1}}$
Download our appand 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.*
Similar Questions
- 1The displacement-time graph of a particle executing $SHM$ is shown. Which of the following statements is/are true ?View Solution
- 2A body executes $SHM$ under the influence of one force and has a period $T_1\, second$ and the same body executes $SHM$ with period $T_2\, second$ when under the influence of another force. When bothforces act simultaneously and in the same direction, then the time period of the same body isView Solution
- 3The motion of a mass on a spring, with spring constant ${K}$ is as shown in figure. The equation of motion is given by $x(t)= A sin \omega t+ Bcos\omega t$ with $\omega=\sqrt{\frac{K}{m}}$ Suppose that at time $t=0$, the position of mass is $x(0)$ and velocity $v(0)$, then its displacement can also be represented as $x(t)=C \cos (\omega t-\phi)$, where $C$ and $\phi$ areView Solution
- 4In a simple pendulum, the period of oscillation $T$ is related to length of the pendulum $l$ asView Solution
- 5A particle performs $SHM$ with a period $T$ and amplitude $a.$ The mean velocity of the particle over the time interval during which it travels a distance $a/2$ from the extreme position isView Solution
- 6$Assertion :$ In $SHM$, acceleration is always directed towards the mean position.View Solution
$Reason :$ In $SHM$, the body has to stop momentary at the extreme position and move back to mean position. - 7A book is resting on a shelf that is undergoing vertical simple harmonic oscillations with an amplitude of $2.5 \,cm$. What is the minimum frequency of oscillation of the shelf for .......... $Hz$ the book will lose contact with the shelf? (Assume that, $g=10 \,ms ^{-2}$ )View Solution
- 8View SolutionTo show that a simple pendulum executes simple harmonic motion, it is necessary to assume that
- 9View SolutionA tunnel has been dug through the centre of the earth and a ball is released in it. It will reach the other end of the tunnel after
- 10View SolutionThe graph shows the variation of displacement of a particle executing S.H.M. with time. We infer from this graph that
