Embibe Experts Solutions for Chapter: Circular Motion, Exercise 1: AP EAPCET 2020 (Sep-23 Shift-1)

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

A uniform rod of length $l$ and density $\rho$ is revolving about a vertical axis passing through its one end. If  $\omega$ is the angular velocity of the rod then the centrifugal force per unit area of the rod is

Assertion (A): Two identical trains move in opposite senses in equatorial plane with same speeds relative to the earth's surface. They have equal magnitude of normal reaction.
Reason (R): The trains have different centripetal accelerations due to different speeds.

A $500 \mathrm{kg}$ car takes a round turn of radius $50 \mathrm{m}$ with a velocity of $36\mathrm{kmph}$. The centripetal force acting on the car is

A motor cyclist wants to drive in horizontal circles on the vertical inner surface of a large cylindrical wooden well of radius $8.0 \mathrm{m}$, with minimum speed of $5\sqrt{5} \mathrm{m} {\mathrm{s}}^{-1}$. The minimum value of coefficient of friction between the tyres and the wall of the well must be
$\left(\mathrm{g}=10 \mathrm{m} {\mathrm{s}}^{-2}\right)$

A body of mass $10 \mathrm{kg}$ is attached to a wire of $0.3 \mathrm{m}$ length. The breaking stress is $4.8\times {10}^7 \mathrm{N} {\mathrm{m}}^{-2}$. The area of cross-section from the wire is ${10}^{-6}{ \mathrm{m}}^2$. The maximum angular velocity with which it can be rotated in a horizontal circle is