Embibe Experts Solutions for Chapter: Circular Motion, Exercise 1: Exercise 1

A particle performing $\mathrm{U}.\mathrm{C}.\mathrm{M}.$ of radius $\frac{\pi }{2} \mathrm{m}$ makes $x$ revolutions in time $t$. Its tangential velocity is

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

Two cars of masses $m_1$, and $m_2$ are moving in the circles of radii $r_1$ and $r_2$ respectively. Their angular speeds ${{}^{\text{'}}\omega _1}^{\text{'}}$ and ${{}^{\text{'}}\omega _2}^{\text{'}}$ are such that they both complete one revolution in the same time $t$. The ratio of linear speed of $m_1$' to the linear speed of $m_2$ is

A clock has a continuously moving second's hand of $0.1 \mathrm{m}$ length. The average acceleration of the tip of the hand (in units of $\mathrm{m} {\mathrm{s}}^{-2}$) is of the order of :

One end of a string of length $l$ is connected to a particle of mass $m$ and the other to a small peg on a smooth horizontal table. If the particle moves in a circle with speed $v$, the net force on the particle (directed towards the centre) is: (Where $T$ is the tension in the string) [Choose the correct alternative].

One end of a string of length $\text{'}l\text{'}$ is connected to a particle of mass $\text{'}m\text{'}$ and the other to a small peg on a smooth horizontal table. If the particle moves in a circle with speed $\text{'}v\text{'}$, the net force on the particle (directed towards the centre is: ($T$ is the tension in the string)

It is difficult to walk on a slippery road. Sand was thrown on the slippery road so that people can walk easily on the road. When sand is thrown on the road

If the radius of the circular track decreases, then the angle of banking,