A girl is swinging a swing in the sitting position. What will be the effect on the time period of the swing if she stand up ?
Here the distance between the point of suspension of swing and the centre of gravity of the girl swing system is called the length of pendulum. As the girl stands up, the centre of mass of the oscillating system is raised consequently in value of length of pendulum decreases and hence according to $\mathrm{T}=2 \pi \sqrt{\frac{l}{g}}$ time period decreases.
A pendulum suspended from the ceiling of a train has a period $T$ when the train is at rest. When the train travels same distance per unit time, the period of oscillation is
The bob of a pendulum was released from a horizontal position. The length of the pendulum is $10 \mathrm{~m}$. If it dissipates $10 \%$ of its initial energy against air resistance, the speed with which the bob arrives at the lowest point is : [Use, $\mathrm{g}: 10 \mathrm{~ms}^{-2}$ ]
A pendulum bob has a speed of $3\, m/s$ at its lowest position. The pendulum is $0.5\, m$ long. The speed of the bob, when the length makes an angle of ${60^o}$ to the vertical, will be ..... $m/s$ (If $g = 10\,m/{s^2}$)
When body of mass $m$ is suspended from a spiral spring and spring gets stretched through a distance $20\, cm$ if it is stretched below $20\, cm$ and leave then what is period of oscillation ?
The period of oscillation of a simple pendulum of length $L$ suspended from the roof of a vehicle which moves without friction down an inclined plane of inclination $\alpha$, is given by