A block of mass 2 kg is tied to one end of a | vedclass

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

Question

(B) Given: Mass $m = 2 \ kg$,length $l = 2 \ m$,area $A = 1 \ mm^2 = 1 	imes 10^{-6} \ m^2$,maximum elongation $\Delta l = 2 \ mm = 2 	imes 10^{-3}

Vedclass · Accepted Answer

$1.2 	imes 10^{11} \ Nm^{-2}$

Vedclass · Answer

(B) Given: Mass $m = 2 \ kg$,length $l = 2 \ m$,area $A = 1 \ mm^2 = 1 	imes 10^{-6} \ m^2$,maximum elongation $\Delta l = 2 \ mm = 2 	imes 10^{-3} \ m$,$g = 10 \ ms^{-2}$.For the tension to be zero at the highest point in a vertical circle,the velocity at the bottom point must be $v = \sqrt{5gl}$.$v = \sqrt{5 	imes 10 	imes 2} = \sqrt{100} = 10 \ ms^{-1}$.The maximum tension $T_{\max}$ occurs at the lowest point of the vertical circle.$T_{\max} = mg + \frac{mv^2}{l} = 2 	imes 10 + \frac{2 	imes (10)^2}{2} = 20 + 100 = 120 \ N$.Using the formula for Young's modulus $Y = \frac{T_{\max} \cdot l}{A \cdot \Delta l}$:$Y = \frac{120 	imes 2}{1 	imes 10^{-6} 	imes 2 	imes 10^{-3}} = \frac{240}{2 	imes 10^{-9}} = 120 	imes 10^9 = 1.2 	imes 10^{11} \ Nm^{-2}$.

Similar Questions

Which is the infectious stage of $Plasmodium$?

Let $R$ be a reflexive relation on a finite set $A$ having $n$ elements,and let there be $m$ ordered pairs in $R$. Then

If $\int \frac{5\tan x}{\tan x - 2} dx = x + a \ln |\sin x - 2\cos x| + k$,then $a$ is equal to

$A$ bag $X$ contains $2$ white and $3$ black balls and another bag $Y$ contains $4$ white and $2$ black balls. One bag is selected at random and a ball is drawn from it. Then the probability for the ball chosen to be white is

If the angular momentum of an electron is $\overrightarrow{J}$,then the magnitude of the magnetic moment will be

Vedclass Test Series

Exam Paper Generator

Online Exam Module