(A) When a train moves along a curved track,it follows a circular path.For a curved track,there are two rails: an inner rail and an outer rail.The cen

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The radius of curvature of outer rail will be greater than that of the inner rail

(A) When a train moves along a curved track,it follows a circular path.For a curved track,there are two rails: an inner rail and an outer rail.The center of the circular path lies on the side of the inner rail.Since the outer rail is further away from the center of the curvature than the inner rail,the radius of curvature of the outer rail $(R_{outer})$ is greater than the radius of curvature of the inner rail $(R_{inner})$.Therefore,$R_{outer} > R_{inner}$.

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

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A
The radius of curvature of outer rail will be greater than that of the inner rail
B
The radius of curvature of inner rail will be greater than that of the outer rail
C
The radius of curvature of the outer and inner rails will be the same
D
The radius of curvature of inner rail will be infinite

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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

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$A$ 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 . . . . . . $ML$.

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$A$ particle of mass $m$ is fixed to one end of a light spring having force constant $k$ and unstretched length $\ell$. The other end is fixed. The system is given an angular speed $\omega$ about the fixed end of the spring such that it rotates in a circle in gravity-free space. Then the stretch in the spring is

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

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$A$ stone of mass $2 \,kg$ is tied at one end of a string of length $2 \,m$ and is whirled in a horizontal circle. If the string can withstand a maximum tension of $64 \,N$, then the permissible maximum number of rotations per minute is

$A$ small disc is placed on the top of a smooth hemisphere of radius $R$. What is the smallest horizontal velocity $v$ that should be given to the disc for it to leave the hemisphere immediately at the top and not slide down it? [There is no friction]

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