A string of length L is fixed at one end and | vedclass

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

Question

(B) The forces acting on the mass $M$ are the tension $T$ in the string and the gravitational force $Mg$.Resolving the tension $T$ into vertical and h

Vedclass · Accepted Answer

$36$

Vedclass · Answer

(B) The forces acting on the mass $M$ are the tension $T$ in the string and the gravitational force $Mg$.Resolving the tension $T$ into vertical and horizontal components:$T \cos 	heta = Mg$ $............(1)$$T \sin 	heta = M \omega^2 R$ $............(2)$From the geometry of the system,the radius of the circular path is $R = L \sin 	heta$.Substituting $R$ into equation $(2)$:$T \sin 	heta = M \omega^2 (L \sin 	heta)$$T = M \omega^2 L$The frequency of rotation is $f = \frac{3}{\pi} 	ext{ Hz}$.The angular velocity is $\omega = 2 \pi f = 2 \pi \left(\frac{3}{\pi}ight) = 6 	ext{ rad/s}$.Substituting the value of $\omega$ into the expression for tension:$T = M (6)^2 L = 36 ML$.Thus,the tension in the string is $36 ML$.

$A$ string of length $L$ is fixed at one end and carries a mass of $M$ at the other end. The mass makes $(\frac{3}{\pi})$ rotations per second about the vertical axis passing through the fixed end of the string as shown. The tension in the string is . . . . . . $ML$.

Similar Questions

$A$ motorcycle is moving on an overbridge of radius $R$. The driver maintains a constant speed $v$. As the motorcycle is ascending on the overbridge,the normal force on it

Three particles of equal mass are tied to a string and rotated in a horizontal plane as shown. What is the ratio of tensions in the three parts of the string?

$A$ particle moves with constant angular velocity in a circular path of a certain radius and is acted upon by a certain centripetal force $F$. If the angular velocity is kept the same but the radius of the path is halved,the new force will be

$A$ train is moving towards north. At one place it turns towards north-east,here we observe that

$A$ body of mass $5\, kg$ is moving in a circle of radius $1\, m$ with an angular velocity of $2\, rad/s$. The centripetal force is ......... $N$.

Vedclass Test Series

Exam Paper Generator

Online Exam Module