A simple pendulum of length 1 ,m is freely su | vedclass

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

Question

(D) Given: Length of simple pendulum $L = 1 \,m$, acceleration of elevator $a = 2 \,m/s^2$, and acceleration due to gravity $g = 10 \,m/s^2$.When an e

Vedclass · Accepted Answer

$\frac{\pi}{\sqrt{3}} \,s$

Vedclass · Answer

(D) Given: Length of simple pendulum $L = 1 \,m$, acceleration of elevator $a = 2 \,m/s^2$, and acceleration due to gravity $g = 10 \,m/s^2$.When an elevator moves upward with an acceleration $a$, the effective acceleration due to gravity $g_{eff}$ is given by $g_{eff} = g + a$.Substituting the values, $g_{eff} = 10 + 2 = 12 \,m/s^2$.The time period $T$ of a simple pendulum is given by $T = 2\pi \sqrt{\frac{L}{g_{eff}}}$.Substituting the values, $T = 2\pi \sqrt{\frac{1}{12}} = 2\pi \frac{1}{\sqrt{4 	imes 3}} = 2\pi \frac{1}{2\sqrt{3}} = \frac{\pi}{\sqrt{3}} \,s$.

$A$ simple pendulum of length $1 \,m$ is freely suspended from the ceiling of an elevator. The time period of small oscillations as the elevator moves up with an acceleration of $2 \,m/s^2$ is (use $g=10 \,m/s^2$).

Similar Questions

The period of small oscillation of a simple pendulum is $T$. The ratio of the density of the liquid to the density of the material of the bob is $\rho$ (where $\rho < 1$). When the bob is immersed in the liquid,the new time period of small oscillation will be:

If a simple pendulum is taken to a place where $g$ decreases by $4\%$,then the time period

$A$ hollow sphere is filled with water through a small hole in it. It is then hung by a long thread and made to oscillate. As the water slowly flows out of the hole at the bottom, the period of oscillation will

An object of mass $3 \,kg$ is tied by a string of negligible mass to a ceiling and held such that the string is taut. The object is released suddenly such that the string remains taut. Its acceleration when released is (acceleration due to gravity $= 10 \,ms^{-2}$) (in $\,ms^{-2}$)

The ratio of the frequencies of two simple pendulums is $4: 3$ at the same place. The ratio of their respective lengths is

Vedclass Test Series

Exam Paper Generator

Online Exam Module