A pendulum is suspended by a string of length | vedclass

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

Question

(A) The maximum velocity of the pendulum bob is attained at its lowest position due to the conservation of mechanical energy.Let the length of the str

Vedclass · Accepted Answer

$5$

Vedclass · Answer

(A) The maximum velocity of the pendulum bob is attained at its lowest position due to the conservation of mechanical energy.Let the length of the string be $\ell = 250\,cm = 2.5\,m$.The vertical height $h$ through which the bob falls is given by:$h = \ell - \ell \cos 60^{\circ} = \ell(1 - \cos 60^{\circ})$$h = 2.5 	imes (1 - 0.5) = 2.5 	imes 0.5 = 1.25\,m$Using the conservation of energy,the potential energy at the highest point is converted into kinetic energy at the lowest point:$mgh = \frac{1}{2}mv_{\max}^2$$v_{\max} = \sqrt{2gh}$$v_{\max} = \sqrt{2 	imes 10 	imes 1.25} = \sqrt{25} = 5\,m/s$

Similar Questions

$A$ bob of a simple pendulum has mass $m$ and is oscillating with an amplitude $a$. If the length of the pendulum is $L$,then the maximum tension in the string is (given $\cos 0^{\circ}=1, g=$ acceleration due to gravity):

The time period of a simple pendulum of length $L$ is $T_1$. The time period of a uniform rod of the same length $L$ suspended from one end and oscillating in a vertical plane is $T_2$. The amplitude of oscillation is small in both cases. Then the ratio $\frac{T_1}{T_2}$ is:

The length of a simple pendulum is increased by $2\%$. Its time period will

$A$ chimpanzee swinging on a swing in a sitting position,stands up suddenly,the time period will

In a seconds pendulum,the mass of the bob is $30\, g$. If it is replaced by a $90\, g$ mass,then its time period will be .... $s$.

Vedclass Test Series

Exam Paper Generator

Online Exam Module