A stone of mass m,tied to a string,is being w | vedclass

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

Question

(B) In a vertical circular motion with uniform speed $v$,the net centripetal force is provided by the tension $T$ and the component of gravity $mg \co

Vedclass · Accepted Answer

minimum at the highest position of the circular path

Vedclass · Answer

(B) In a vertical circular motion with uniform speed $v$,the net centripetal force is provided by the tension $T$ and the component of gravity $mg \cos 	heta$,where $	heta$ is the angle with the vertical.At the highest point,the tension $T_{top}$ is given by $T_{top} + mg = \frac{mv^2}{r}$,so $T_{top} = \frac{mv^2}{r} - mg$.At the lowest point,the tension $T_{bottom}$ is given by $T_{bottom} - mg = \frac{mv^2}{r}$,so $T_{bottom} = \frac{mv^2}{r} + mg$.Since $T_{top} < T_{bottom}$,the tension is minimum at the highest position of the circular path.

$A$ stone of mass $m$,tied to a string,is being whirled in a vertical circle with a uniform speed. The tension in the string is

Similar Questions

$A$ body of mass $m \ kg$ is rotating in a vertical circle at the end of a string of length $r \ m$. What is the difference in the kinetic energy at the top and the bottom of the circle?

The maximum and minimum tension in the string whirling in a circle of radius $2.5 \, m$ with constant velocity are in the ratio $5 : 3$. Then its velocity is:

$A$ particle is moving along a horizontal circle of radius $r$ under a centripetal force $F = -\frac{c}{r^2}$,where $c$ is a constant. Then,the total energy of the particle is

$A$ bucket tied at the end of a $1.6\, m$ long string is whirled in a vertical circle with constant speed. What should be the minimum speed so that the water from the bucket does not spill,when the bucket is at the highest position? (Take $g = 10\, m/s^2$)

In a circus,a stuntman rides a motorbike on a vertical circular track of radius $r$. Find the minimum speed he must maintain at the highest point of the track.

Vedclass Test Series

Exam Paper Generator

Online Exam Module