In a simple pendulum, the period of oscillation $T$ is related to length of the pendulum $l$ as
Easy
Download our app for free and get started
(c) $T = 2\pi \sqrt {\frac{l}{g}} $
$\Rightarrow \frac{l}{{{T^2}}} = \frac{g}{{4{\pi ^2}}} = $ constant
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
- 1A particle performing $SHM$ is found at its equilibrium at $t = 1\,sec$. and it is found to have a speed of $0.25\,m/s$ at $t = 2\,sec$. If the period of oscillation is $6\,sec$. Calculate amplitude of oscillationView Solution
- 2Figure shows the position-time graph of an object in $S.H.M.$ The correct equation representing this motion is ..........View Solution
- 3A uniform thin ring of radius $R$ and mass $m$ suspended in a vertical plane from a point in its circumference. Its time period of oscillation is ........View Solution
- 4A block of mass $m$ is suspended separately by two different springs have time period $t_1$ and $t_2$ . If same mass is connected to parallel combination of both springs, then its time period will beView Solution
- 5Two particles are executing $SHM$ in a straight line. Amplitude $'A'$ and time period $'T'$ of both the particles are equal. At time $t = 0$ one particle is at displacement $x_1 = +A$ and other at ${x_2} = \frac{{ - A}}{2}$ and they are approaching towards each other. Time after which they will cross each other isView Solution
- 6If the period of oscillation of mass $m$ suspended from a spring is $2\, sec$, then the period of mass $4m$ will be .... $\sec$View Solution
- 7In a linear simple harmonic motion $(SHM)$View Solution
$(A)$ Restoring force is directly proportional to the displacement.
$(B)$ The acceleration and displacement are opposite in direction.
$(C)$ The velocity is maximum at mean position.
$(D)$ The acceleration is minimum at extreme points.
Choose the correct answer from the options given below :
- 8View SolutionIn simple harmonic motion, the ratio of acceleration of the particle to its displacement at any time is a measure of
- 9An ideal spring with spring-constant $K$ is hung from the ceiling and a block of mass $M$ is attached to its lower end. The mass is released with the spring initially unstretched. Then the maximum extension in the spring isView Solution
- 10Which of the following expressions corresponds to simple harmonic motion along a straight line, where $x$ is the displacement and $a, b, c$ are positive constants?View Solution