A block of mass M₁ is hanged by a light spring of force constant k to top bar of a rever

English

Gujarati

Hindi

4-1.Newton's Laws of Motion

medium

A block of mass $M_1$ is hanged by a light spring of force constant $k$ to the top bar of a reverse $U$ -frame of mass $M_2$ on the floor. The block is pulled down from its equilibrium position by a distance $x$ and then released. The minimum value of $x$ such that the reverse $U$ -frame will leave the floor momentarily, is :-

A

$x = (M_1 + M_2)g/k$

B

$x = (2M_1 + M_2)g/k$

C

$x = (M_1 + 2M_2)g/k$

D

$x = M_1g/k$

Solution

$2 \mathrm{N}+\mathrm{kx}_{1}=\mathrm{M}_{2} \mathrm{g}$

$\mathrm{N}=0 \Rightarrow \mathrm{kx}_{1}=\mathrm{M}_{2} \mathrm{g}$

$A=x_{0}+x_{1}=x$

$\frac{\mathrm{M}_{1} \mathrm{g}}{\mathrm{k}}+\frac{\mathrm{M}_{2} \mathrm{g}}{\mathrm{k}}=\mathrm{x}$

Standard 11

Physics

Share

Similar Questions

The block $A$ is pushed towards the wall by a distance and released. The normal reaction by vertical wall on the block $B$ $v/s$ compression in spring is given by :

hard

Reading shown in two extended spring balances, $S_1$ and $S_2$ is $60\,kg$ and $30\,kg$ respectively and lift is accelerating upward with acceleration $10\, m/s^2.$ The mass is stationary with respect to lift. Then the mass of the block will be ……… $kg$.

medium

A block of mass $m$ is connected to another block of mass $M$ by a spring (massless) of spring constant $k$. The block are kept on a smooth horizontal plane. Initially the blocks are at rest and the spring is unstretched. Then a constant force $F$ starts acting on the block of mass $M$ to pull it. Find the force of the block of mass $m.$

medium

(AIEEE-2007)

A body of mass $5\,kg$ is suspended by a spring balance on an inclined plane as shown in figure. The spring balance measure ………… $N$

easy

Two masses of $10\, kg$ and $20\, kg$ respectively are connected by a massless spring as shown in figure. A force of $200\, N$ acts on the $20\, kg$ mass. At the instant when the $10\, kg$ mass has an acceleration of $12\, m\, s^{-2}$, the acceleration of the $20\, kg$ mass is …… $ms^{-2}$

medium