(A) When a train moves along a curved track,it follows a circular path. For any circular path,the outer rail is at a larger distance from the center o

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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 any circular path,the outer rail is at a larger distance from the center of curvature compared to the inner rail. Let $R_o$ be the radius of the outer rail and $R_i$ be the radius of the inner rail. Since the outer rail is further from the center of the turn,$R_o > R_i$. Therefore,the radius of curvature of the outer rail is greater than that of the inner rail.

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

AIIMS 1980 All AIIMS

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

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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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$A$ boy on a cycle pedals around a circle of $20\, m$ radius at a speed of $20\, m/s$. The combined mass of the boy and the cycle is $90\, kg$. The angle that the cycle makes with the vertical so that it may not fall is ......... $^o$ $(g = 9.8\, m/s^2)$.

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As shown in the figure, two equal masses hang on either side of a pulley at the same height from the ground. The mass on the right is given a horizontal speed $u$. After some time :-

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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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$A$ ball of mass $0.25 \,kg$ attached to the end of a string of length $1.96 \,m$ is moving in a horizontal circle. The string will break if the tension is more than $25 \,N$. What is the maximum speed with which the ball can be moved (in $\,m/s$)?

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

$A$ ball of mass $0.5 \ kg$ is attached to a string of length $50 \ cm$. The ball is rotated on a horizontal circular path about its vertical axis. The maximum tension that the string can bear is $400 \ N$. The maximum possible value of angular velocity of the ball in $rad/s$ is:

$A$ boy on a cycle pedals around a circle of $20\, m$ radius at a speed of $20\, m/s$. The combined mass of the boy and the cycle is $90\, kg$. The angle that the cycle makes with the vertical so that it may not fall is ......... $^o$ $(g = 9.8\, m/s^2)$.

As shown in the figure, two equal masses hang on either side of a pulley at the same height from the ground. The mass on the right is given a horizontal speed $u$. After some time :-

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