Embibe Experts Solutions for Chapter: Simple Harmonic Motion, Exercise 1: Exercise 1

Blocks $A$ and $B$ of masses $m$ and $2m$ respectively connected by an ideal spring of force constant $k$ rest on a smooth horizontal surface (see figure). Block $B$ is shifted distance $l$ towards left and then released. The velocity of centre of mass of the system of $A$ and $B$ after block $A$ loses contact with the wall is

Consider the shown diagram. All pulleys are massless and frictionless, springs are ideal and all connecting strings are ideal. Find the natural frequency of the system shown in figure

A block of mass $\mathrm{m}$ is suspended separately by two different springs have time period $t_1$ and $t_2$. If same mass is connected to parallel combination of both springs, then its time period is given by

The potential energy of a particle of mass $100 \mathrm{g}$ moving along $x-$axis is given by $U=5 x(x-4),$ where $x$ is in metre. The period of oscillation is

Figure-$1$ to Figure-$4$ shows four different spring arrangements. Mass $m$ in each arrangement is displaced from its equilibrium position and released. Neglect mass of the springs. Choose the correct statement(s)

A small block of mass $2 \mathrm{kg}$ is placed on a bigger block of mass $4 \mathrm{kg}$ which is attached to horizontal spring of spring constant $K=500 \mathrm{N} {\mathrm{m}}^{-1}$ as shown in figure, coefficient of friction between blocks is$0.2$. Maximum amplitude of system so that there is no relative slipping between blocks 

An ideal liquid having length of liquid column $l$ is contain in $V$-shape take as shown. If liquid is displaced, then its time period is

A block $P$ having mass $m$ is placed on a horizontal frictionless plane. Another block having same mass is placed on it and is connected to a spring of spring constant $k.$ The two blocks are pulled by a distance $A$ and released. Block $Q$ oscillates without slipping. The maximum value of frictional force between two blocks is