(B) The sphere $B$ of mass $2M$ is rotating in a circle of radius $d$ about the pivot $A$ with a period $P$. The angular velocity $\omega$ is given by

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(B) The sphere $B$ of mass $2M$ is rotating in a circle of radius $d$ about the pivot $A$ with a period $P$. The angular velocity $\omega$ is given by $\omega = \frac{2\pi}{P}$. The centripetal force required for the circular motion of sphere $B$ is provided by the tension $T$ in the rod. Thus,$T = (2M) \cdot d \cdot \omega^2$. Substituting the value of $\omega$: $T = 2M \cdot d \cdot \left(\frac{2\pi}{P}\right)^2$ $T = 2M \cdot d \cdot \frac{4{\pi}^2}{P^2}$ $T = \frac{8{\pi}^2Md}{P^2}$.

Class 11 Physics 3-2.Motion in Plane Dynamics of circular Motion (Centrifugal force) and Pendulum and Motion on Curved path

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$A$ dumbbell is placed on a frictionless horizontal table. Sphere $A$ is attached to a frictionless pivot so that $B$ can be made to rotate about $A$ with constant angular velocity. If $B$ (mass $2M$) makes one revolution in period $P$,the tension in the rod (length $d$) is

A
$\frac{4{\pi}^2Md}{P^2}$
B
$\frac{8{\pi}^2Md}{P^2}$
C
$\frac{4{\pi}^2Md}{P}$
D
$\frac{2Md}{P}$

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3-2.Motion in Plane

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Dynamics of circular Motion (Centrifugal force) and Pendulum and Motion on Curved path

$A$ block of $200\, g$ mass moves with a uniform speed in a horizontal circular groove,with vertical side walls of radius $20\, cm$. If the block takes $40\, s$ to complete one round,the normal force by the side walls of the groove is

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"Momentum and changes in momentum are not always in the same direction." Explain with a suitable example.

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When helical gear $M$ turns as shown,gears $I$ & $H$ turn in the following manner. Which of the following is correct? (Assuming no slipping anywhere)

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$A$ body of mass $m$ is moving with speed $V$ along a circular path of radius $r$. Now,the speed is reduced to $\frac{V}{2}$ and the radius is increased to $3r$. For this change,the initial centripetal force needs to be:

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Two stones of masses $m$ and $3m$ are whirled in horizontal circles,the heavier one in a radius of $(r/3)$ and the lighter one in a radius of $r$. The tangential speed of the lighter stone is $n$ times that of the heavier stone when they experience the same centripetal force. The value of $n$ is:

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$A$ dumbbell is placed on a frictionless horizontal table. Sphere $A$ is attached to a frictionless pivot so that $B$ can be made to rotate about $A$ with constant angular velocity. If $B$ (mass $2M$) makes one revolution in period $P$,the tension in the rod (length $d$) is

Similar Questions

$A$ block of $200\, g$ mass moves with a uniform speed in a horizontal circular groove,with vertical side walls of radius $20\, cm$. If the block takes $40\, s$ to complete one round,the normal force by the side walls of the groove is

"Momentum and changes in momentum are not always in the same direction." Explain with a suitable example.

When helical gear $M$ turns as shown,gears $I$ & $H$ turn in the following manner. Which of the following is correct? (Assuming no slipping anywhere)

$A$ body of mass $m$ is moving with speed $V$ along a circular path of radius $r$. Now,the speed is reduced to $\frac{V}{2}$ and the radius is increased to $3r$. For this change,the initial centripetal force needs to be:

Two stones of masses $m$ and $3m$ are whirled in horizontal circles,the heavier one in a radius of $(r/3)$ and the lighter one in a radius of $r$. The tangential speed of the lighter stone is $n$ times that of the heavier stone when they experience the same centripetal force. The value of $n$ is:

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