(C) Let $M = 20 \ kg$ be the mass of the trolley and $m = 4 \ kg$ be the mass of the hanging block.The driving force is the weight of the hanging bloc

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(C) Let $M = 20 \ kg$ be the mass of the trolley and $m = 4 \ kg$ be the mass of the hanging block.The driving force is the weight of the hanging block,$F_{drive} = mg = 4 \times 10 = 40 \ N$.The normal force on the trolley is $N = Mg = 20 \times 10 = 200 \ N$.The kinetic friction force acting on the trolley is $f_k = \mu_k N = 0.02 \times 200 = 4 \ N$.The net force on the system is $F_{net} = F_{drive} - f_k = 40 - 4 = 36 \ N$.The total mass of the system is $M_{total} = M + m = 20 + 4 = 24 \ kg$.Using Newton's second law,$a = \frac{F_{net}}{M_{total}} = \frac{36}{24} = 1.5 \ ms^{-2}$.

Class 11 Physics Newton's Laws of Motion and Friction Motion of Body (or Connected Bodies in horizontal or vertical) (by String or Contact)

Medium

$A$ trolley of mass $20 \ kg$ is attached to a block of mass $4 \ kg$ by a massless string passing over a frictionless pulley as shown in the figure. If the coefficient of kinetic friction between the trolley and the surface is $0.02$,then the acceleration of the trolley and block system is (take $g=10 \ ms^{-2}$):- (in $ms^{-2}$)

A
$1$
B
$2$
C
$1.5$
D
$2.5$

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Newton's Laws of Motion and Friction

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Motion of Body (or Connected Bodies in horizontal or vertical) (by String or Contact)

$A$ block of mass $M$ is kept on a platform which starts accelerating upwards from rest with a constant acceleration $a$. During the time interval $T$,the work done by the contact force on mass $M$ is

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$A$ block of mass $m$ is connected to another block of mass $M$ by a massless spring of spring constant $k$. The blocks 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 acting on the block of mass $m$.

MediumAIEEE 2007

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Two blocks of $2 \,kg$ and $1 \,kg$ are in contact on a frictionless table. If a force of $3 \,N$ is applied on the $2 \,kg$ block, then the force of contact between the two blocks will be: (in $\,N$)

MediumWBJEE 2010

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$A$ system of $10$ balls,each of mass $m = 2 \; kg$,is connected via a massless and unstretchable string. The system is allowed to slip over the edge of a smooth table as shown in the figure. Find the tension $T$ in the string between the $7^{th}$ and $8^{th}$ ball when the $6^{th}$ ball just leaves the table. (in $; N$)

DifficultJEE MAIN 2022

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$A$ block of mass $M$ is kept on a platform which starts accelerating upwards from rest with a constant acceleration $a$. During the time interval $T$,the work done by the contact force on mass $M$ is

$A$ monkey of mass $20 \, kg$ climbs up a rope which can withstand a maximum tension of $25 \, kgf$. What is the maximum acceleration with which the monkey can climb up? (Take $g = 10 \, m/s^2$)

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