Two particles of mass 2m and m are attached t | vedclass

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

Question

(C) Let the angular velocity be $\Omega = 2\omega$. For particle $B$ of mass $m$ at distance $2r$ from $O$,the tension $T_{AB}$ provides the necessary

Vedclass · Accepted Answer

$2 : 1$

Vedclass · Answer

(C) Let the angular velocity be $\Omega = 2\omega$. For particle $B$ of mass $m$ at distance $2r$ from $O$,the tension $T_{AB}$ provides the necessary centripetal force: $T_{AB} = m \Omega^2 (2r) = m (2\omega)^2 (2r) = m (4\omega^2) (2r) = 8m\omega^2 r$. For particle $A$ of mass $2m$ at distance $r$ from $O$,the net force towards the center is $T_{OA} - T_{AB}$: $T_{OA} - T_{AB} = (2m) \Omega^2 r = (2m) (2\omega)^2 r = (2m) (4\omega^2) r = 8m\omega^2 r$. Substituting $T_{AB} = 8m\omega^2 r$: $T_{OA} = 8m\omega^2 r + 8m\omega^2 r = 16m\omega^2 r$. Therefore,the ratio is: $T_{OA} / T_{AB} = (16m\omega^2 r) / (8m\omega^2 r) = 2 / 1 = 2 : 1$.

Similar Questions

$A$ roller coaster is designed such that riders experience "weightlessness" as they go round the top of a hill whose radius of curvature is $20\, m$. The speed of the car at the top of the hill is between

If mass,speed,and radius of the circular path of a particle are increased by $100 \%$,then the necessary force required to maintain the circular path will have to be increased by (in $\%$)

When a vehicle of mass $m$ is moving with a velocity $v$ over a concave over-bridge of radius of curvature $r$,the thrust on the road at the lowest point on the bridge will be

$A$ $500\, kg$ crane takes a turn of radius $50\, m$ with a velocity of $36\, km/hr$. The centripetal force is ......... $N$.

$A$ vehicle is moving on a track with constant speed as shown in the figure. The apparent weight of the vehicle is:

Vedclass Test Series

Exam Paper Generator

Online Exam Module