A simple pendulum suspended from the ceiling | vedclass

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

Question

(B) The time period of a simple pendulum is given by $T = 2\pi \sqrt{\frac{l}{g_{	ext{eff}}}}$,where $g_{	ext{eff}}$ is the effective acceleration d

Vedclass · Accepted Answer

$T_0 = T_1 < T_2$

Vedclass · Answer

(B) The time period of a simple pendulum is given by $T = 2\pi \sqrt{\frac{l}{g_{	ext{eff}}}}$,where $g_{	ext{eff}}$ is the effective acceleration due to gravity.$1$. For a stationary lift,$g_{	ext{eff}} = g$,so $T_0 = 2\pi \sqrt{\frac{l}{g}}$.$2$. When the lift descends at a steady speed,the acceleration is zero. Thus,$g_{	ext{eff}} = g$,and the period $T_1 = 2\pi \sqrt{\frac{l}{g}}$. Therefore,$T_0 = T_1$.$3$. When the lift descends with a constant downward acceleration $a$,a pseudo force $ma$ acts upwards on the pendulum bob. The effective acceleration becomes $g_{	ext{eff}} = g - a$. Since $g - a Thus,$T_0 = T_1 < T_2$.

$A$ simple pendulum suspended from the ceiling of a stationary lift has period $T_0$. When the lift descends at steady speed,the period is $T_1$,and when it descends with constant downward acceleration,the period is $T_2$. Which one of the following is true?

Similar Questions

The acceleration due to gravity at a place is $\pi^2 \, m/s^2$. Then the time period of a simple pendulum of length $1 \, m$ is:

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

If the time period of a $2 \ m$ long simple pendulum is $2 \ s$,the acceleration due to gravity at the place where the pendulum is executing $S.H.M.$ is

$A$ pendulum is hung from the roof of a sufficiently high building and is moving freely to and fro like a simple harmonic oscillator. The acceleration of the bob of the pendulum is $20 \; m/s^2$ at a distance of $5 \; m$ from the mean position. The time period of oscillation is

$A$ pendulum clock is running slow. To correct its time,we should

Vedclass Test Series

Exam Paper Generator

Online Exam Module