(B) Case $1$: Force $F$ is applied on the $2m$ block. The acceleration of the system is $a = \frac{F}{2m + m} = \frac{F}{3m}$.The contact force $f_1$

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(B) Case $1$: Force $F$ is applied on the $2m$ block. The acceleration of the system is $a = \frac{F}{2m + m} = \frac{F}{3m}$.The contact force $f_1$ on the $m$ block is $f_1 = m \cdot a = m \cdot \frac{F}{3m} = \frac{F}{3}$.Case $2$: Force $F$ is applied on the $m$ block. The acceleration of the system is $a = \frac{F}{m + 2m} = \frac{F}{3m}$.The contact force $f_2$ on the $2m$ block is $f_2 = 2m \cdot a = 2m \cdot \frac{F}{3m} = \frac{2F}{3}$.The ratio of the contact forces is $\frac{f_1}{f_2} = \frac{F/3}{2F/3} = \frac{1}{2}$.

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

Two blocks of masses $2m$ and $m$ are placed on a smooth horizontal surface. $A$ force $F$ is applied on the $2m$ block towards the right,and the same force $F$ is applied on the $m$ block towards the left. What is the ratio of the contact forces between the two blocks in the two cases?

A
$1 : 1$
B
$1 : 2$
C
$2 : 1$
D
$1 : 4$

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Class 11 Questions

Class 11

Physics Questions

Chapter

Newton's Laws of Motion and Friction

Subtopic

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

Medium

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Difficult

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$A$ block of mass $M$ is pulled along a horizontal frictionless surface by a rope of mass $m$. If a force $P$ is applied at the free end of the rope,the force exerted by the rope on the block will be

MediumAIEEE 2003

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$A$ block of mass $m_1$ rests on a horizontal table. $A$ string tied to the block is passed over a frictionless pulley fixed at the end of the table,and to the other end of the string is hung another block of mass $m_2$. The acceleration of the system is

Easy

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Two blocks of masses $7 \, kg$ and $5 \, kg$ are placed in contact with each other on a smooth surface. If a force of $6 \, N$ is applied on the heavier mass,the force on the lighter mass is ............ $N$.

Medium

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Two blocks of masses $2m$ and $m$ are placed on a smooth horizontal surface. $A$ force $F$ is applied on the $2m$ block towards the right,and the same force $F$ is applied on the $m$ block towards the left. What is the ratio of the contact forces between the two blocks in the two cases?

Similar Questions

$A$ 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

$A$ smooth right-angled wedge of mass $M$ is kept on a smooth horizontal surface as shown. $A$ mass $m$ is released from the top of the wedge. When $m$ reaches the ground, its speed is $V$. Find the work done by the normal contact force on $m$ while it comes down to the ground.

$A$ block of mass $M$ is pulled along a horizontal frictionless surface by a rope of mass $m$. If a force $P$ is applied at the free end of the rope,the force exerted by the rope on the block will be

$A$ block of mass $m_1$ rests on a horizontal table. $A$ string tied to the block is passed over a frictionless pulley fixed at the end of the table,and to the other end of the string is hung another block of mass $m_2$. The acceleration of the system is

Two blocks of masses $7 \, kg$ and $5 \, kg$ are placed in contact with each other on a smooth surface. If a force of $6 \, N$ is applied on the heavier mass,the force on the lighter mass is ............ $N$.

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