A ball of mass ( m )=0.5 kg is attached to t | vedclass

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

Question

REF.Image.

$m \omega^2 L \sin 	heta \cos 	heta= mg \sin 	heta$

$\Rightarrow \cos 	heta=\frac{ g }{\omega^2 L}$

$	herefore \sin 	heta=\f

Vedclass · Accepted Answer

$36$

Vedclass · Answer

REF.Image.

$m \omega^2 L \sin 	heta \cos 	heta= mg \sin 	heta$

$\Rightarrow \cos 	heta=\frac{ g }{\omega^2 L}$

$	herefore \sin 	heta=\frac{1}{\omega^2 L} \sqrt{\left(\omega^2 Light)^2-g^2}$

$T= mg \cos 	heta+ m \omega^2 L \sin ^2 	heta$

$= mg \frac{ g }{\omega^2 L}+\frac{ m \omega^2 L}{\left(\omega^2 Light)^2}\left(\left(\omega^2 Light)^2- g ^2ight)$

$=\frac{ m }{\omega^2 L}\left[g^2+\left(\omega^2 Light)^2- g ^2ight]$

$= m \omega^2 L=324 	ext { (given) }$

$\Rightarrow \omega=\sqrt{\frac{324}{0.5 	imes 0.5}}$

$\omega=36 \ rad / s$

A ball of mass $( m )=0.5 \ kg$ is attached to the end of a string having length $(L)$ $=0.5 m$. The ball is rotated on a horizontal circular path about vertical axis. The maximum tension that the string can bear is $324 \ N$. The maximum possible value of angular velocity of ball (in radian/s) is

Similar Questions

A particle is moving on a circular path of radius $r$ with uniform speed $v$. The magnitude of change in velocity when the particle moves from $P$ to $Q$ is $(\angle POQ = 40^o)$

An object is moving in a circle of radius $100 \,m$ with a constant speed of $31.4 \,m/s$. What is its average speed for one complete revolution ......... $m/s$

If ${a_r}$ and ${a_t}$represent radial and tangential accelerations, the motion of a particle will be uniformly circular if

An aeroplane is flying with a uniform speed of $100\, m/s$ along a circular path of radius $100 m$. the angular speed of the aeroplane will be ......... $rad/sec$

Which of the following statements is false for a particle moving in a circle with a constant angular speed