A stone of mass 1 kg is tied to a string 2 | vedclass

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

Question

(B) At the top of the vertical circle,the forces acting on the stone are tension $(T_{top})$ and weight $(mg)$,both acting downwards. The centripetal

Vedclass · Accepted Answer

$\frac{79}{81}$

Vedclass · Answer

(B) At the top of the vertical circle,the forces acting on the stone are tension $(T_{top})$ and weight $(mg)$,both acting downwards. The centripetal force is provided by their sum:$T_{top} + mg = \frac{mv^2}{R}$$T_{top} = \frac{mv^2}{R} - mg = \frac{1 	imes (40)^2}{2} - (1 	imes 10) = 800 - 10 = 790 \ N$At the bottom of the vertical circle,the tension $(T_{bot})$ acts upwards and weight $(mg)$ acts downwards. The net force provides the centripetal force:$T_{bot} - mg = \frac{mv^2}{R}$$T_{bot} = \frac{mv^2}{R} + mg = \frac{1 	imes (40)^2}{2} + (1 	imes 10) = 800 + 10 = 810 \ N$The ratio of the tension at the top to the bottom is:$\frac{T_{top}}{T_{bot}} = \frac{790}{810} = \frac{79}{81}$

$A$ stone of mass $1 \ kg$ is tied to a string $2 \ m$ long and is rotated at a constant speed of $40 \ ms^{-1}$ in a vertical circle. The ratio of the tension at the top and the bottom is [Take $g = 10 \ ms^{-2}$].

Similar Questions

The minimum horizontal speed with which a body must be projected, so that it goes around a smooth vertical circular track of radius $4 \,m$ is $(g=9.8 \,ms^{-2})$. (in $\,ms^{-1}$)

In a vertical circle of radius $r$,at what point in its path does a particle have tension equal to zero if it is just able to complete the vertical circle?

$A$ bucket full of water is revolved in a vertical circle of radius $2\,m$. What should be the maximum time-period of revolution so that the water does not fall off the bucket? (Take $g = 10\,m/s^2$) ......... $\sec$.

$A$ block of mass $m$ at the end of a string is whirled round in a vertical circle of radius $R$. The critical speed of the block at the top of its swing below which the string would slacken before the block reaches the top is

$ABCDE$ is a channel in the vertical plane,part $BCDE$ being circular with radius $r$. $A$ block is released from $A$ and slides without friction and without rolling. The block will complete the loop if $h$ is

Vedclass Test Series

Exam Paper Generator

Online Exam Module