Two simple pendulums of length 0.5, m and 2.0 | vedclass

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

Question

(c) If $t$ is the time taken by pendulums to come in same phase again first time after $t = 0$.
and ${N_S} = $ Number of oscillations made by shorter

Vedclass · Accepted Answer

$2$

Vedclass · Answer

(c) If $t$ is the time taken by pendulums to come in same phase again first time after $t = 0$.
and ${N_S} = $ Number of oscillations made by shorter length pendulum with time period ${T_S}$.
${N_L} = $ Number of oscillations made by longer length pendulum with time period ${T_L}$.

Then $t = {N_S}{T_S} = {N_L}{T_L}$

$ \Rightarrow {N_S}2\pi \sqrt {\frac{5}{g}} = {N_L} 	imes 2\pi \sqrt {\frac{{20}}{g}} $ ($\because T = 2\pi \sqrt {\frac{l}{g}} $)

$ \Rightarrow {N_S} = 2{N_L}$ i.e. if ${N_L} = 1$

$ \Rightarrow {N_S} = 2$

Two simple pendulums of length $0.5\, m$ and $2.0\, m$ respectively are given small linear displacement in one direction at the same time. They will again be in the phase when the pendulum of shorter length has completed .... oscillations.

Similar Questions

At which position in the string of simple pendulum has maximum tension ?

A simple pendulum is made of a body which is a hollow sphere containing mercury suspended by means of a wire. If a little mercury is drained off, the period of pendulum will

A lift is descending with acceleration $g/3$ . What will be the time period of a simple pendulum suspended from its ceiling if its time period in staionary life is $'T'$ ?

Time period of a simple pendulum will be double, if we

Write the laws of simple pendulum.