A simple pendulum with length L and mass m of | vedclass

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

Question

(B) The tension $T$ in the string at the lowest point is given by $T - mg = \frac{mv^2}{L}$,where $v$ is the velocity at the lowest point.For a simple

Vedclass · Accepted Answer

$mg\left[ {1 + {{\left( {\frac{A}{L}} \right)}^2}} \right]$

Vedclass · Answer

(B) The tension $T$ in the string at the lowest point is given by $T - mg = \frac{mv^2}{L}$,where $v$ is the velocity at the lowest point.For a simple pendulum,the maximum velocity $v_{\max} = A\omega$,where $\omega = \sqrt{\frac{g}{L}}$.Thus,$v_{\max}^2 = A^2\omega^2 = A^2 \left(\frac{g}{L}\right)$.Substituting this into the tension equation:$T_{\max} = mg + \frac{m(A^2 g/L)}{L} = mg + \frac{mgA^2}{L^2}$.Factoring out $mg$,we get $T_{\max} = mg \left[ 1 + \left( \frac{A}{L} \right)^2 \right]$.

$A$ simple pendulum with length $L$ and mass $m$ of the bob is vibrating with an amplitude $A$. The maximum tension in the string is

Similar Questions

The period of a simple pendulum is measured as $T$ in a stationary lift. If the lift moves upwards with an acceleration of $5g$,the new period will be:

The time period of a simple pendulum inside a stationary lift is $\sqrt{3} \ s$. When the lift moves upwards with an acceleration $g/3$,the new time period will be ($g=$ acceleration due to gravity).

Given below are two statements:
Statement $I :$ $A$ second's pendulum has a time period of $1$ second.
Statement $II :$ It takes precisely one second to move between the two extreme positions.
In the light of the above statements,choose the correct answer from the options given below:

The time period of a simple pendulum of length $L$ as measured in an elevator descending with acceleration $\frac{g}{3}$ is

In $S.H.M.$,a simple pendulum oscillates with frequency $f$. If the length of the pendulum is increased by three times its original length,then the frequency of oscillation of the pendulum will be

Vedclass Test Series

Exam Paper Generator

Online Exam Module