Embibe Experts Solutions for Chapter: Laws of Motion, Exercise 1: TS EAMCET - 10 August 2021 Shift 1

A rectangular frame of some mass has to be suspended symmetrically by two mass-less strings of equal length on two supports. It can be done in one of the three following ways as shown in below figures. The tension in the strings will be

A particle is moving in the $x-y$ plane and its coordinates at any time $t$ are given by $x=5\cos \omega t$  $y=5\sin \omega t$ where, $\mathrm{\omega }=\frac{\mathrm{\pi }}{4} \mathrm{rad}$ . The direction of the force it experiences at, $t=2 \mathrm{s}$ is,

An object of mass $15 \mathrm{kg}$ moves at a constant speed of $15{ \mathrm{m} \mathrm{s}}^{-1}.$ A constant force, which acts for $5 \mathrm{s}$ on the object, gives it a speed, $5{ \mathrm{m} \mathrm{s}}^{-1}$ in opposite direction. The force acting on the object is?

Find the position of the particle which starts from rest at the time, $t=10 \mathrm{s}$ given the force acting on the particle with a mass of $50 \mathrm{g}$ is $\left(5\overrightarrow{\mathrm{i}}+10\overrightarrow{\mathrm{j}}\right) \mathrm{N}$

Two masses $M_1 \& M_2$ are placed in contact with each other on a frictionless table
(i) A force $\overrightarrow{F}$ is applied as in fig$\left(a\right)$. Let $F_1$ denotes the force on $M_1$ due to $M_2$.
(ii) A force of the same magnitude $\overrightarrow{F}$ is applied as in fig (b). Let $F_1^{\text{'}}$ denotes the force on $M_1$ due to $M_2$.
The ratio $\left|F_1/F_1^{\text{'}}\right|$ is

A shell of mass, $20 \mathrm{g}$ is fired by a gun of mass $100 \mathrm{kg}.$ If the muzzle speed of the shell is $6 \mathrm{km} {\min }^{-1}$, what is the recoil speed of the gun?

Consider an elevator that is moving up at a constant speed $5 \mathrm{m} {\mathrm{s}}^{-1}$ The elevator can carry a maximum load of $2000 \mathrm{kg}$ (elevator $+$ passenger). If the frictional force which opposes the motion is $5000 \mathrm{N},$ what would be minimum power delivered by motor to the elevator in a watt? $\left(g=10{ \mathrm{m} \mathrm{s}}^{-2}\right)$

A thin motorcyclist rides with sufficient speed in the vertical plane inside a hollow sphere of diameter $20 \mathrm{m}$ to prevent himself from sliding down. If the coefficient of friction is $0.5,$ then what is the minimum speed of the motor cyclist? (use $g=10 \mathrm{m} {\mathrm{s}}^{-2}$)