JEE Main 2025 Admit Card Released for January 22, 23, 24 - Check How to Download

Motion Of Connected Blocks Over Pulley - Practice Questions & MCQ

Edited By admin | Updated on Sep 18, 2023 18:34 AM | #JEE Main

Quick Facts

  • Motion of connected blocks over pulley is considered one the most difficult concept.

  • 37 Questions around this concept.

Solve by difficulty

A light string passing over a smooth light pulley  connects two blocks of masses m1 and m2  ( vertically) .  If the acceleration of the system is g/8,  then the ratio of the masses is

Two masses of 10 kg and 9 kg are connected by a string that passes over a smooth pulley; What is the tension in the string \left ( g=9.81ms^{-2} \right )                                                 

Three masses each of 4 kg are connected by a string that passes through a smooth pulley; Tension between mass b and c?

Direction : In the following question , a statement of Assertion (A) is followed by a statement of reason (R) . Mark the correct choice as:

Assertion : The tension force  on a body always act away from the body.

Reason    : Tension force are always pushing force. 

Calculate the acceleration of the system as shown in the figure, assume all the surfaces are smooth 

 

Two blocks of masses 5kg and 10kg are connected to a pulley as shown in fig. What will be the acceleration if the pulley is set free?

What is the mechanical advantage of a single fixed pulley?

UPES B.Tech Admissions 2025

Ranked #42 among Engineering colleges in India by NIRF | Highest CTC 50 LPA , 100% Placements

Amrita Vishwa Vidyapeetham | B.Tech Admissions 2025

Recognized as Institute of Eminence by Govt. of India | NAAC ‘A++’ Grade | Upto 75% Scholarships | Last Date to Apply: 25th Jan

The system shown is released at rest. Speed of block A (in m/s), after B has descended by 2 cm is 

 

As shown in the figure, a block of mass m = 200 g is suspended by a string. A force F is applied slowly at the lower end of the string.What will be the maximum value of F if bearing strength of the string is 5N?

JEE Main Exam's High Scoring Chapters and Topics
This free eBook covers JEE Main important chapters & topics to study just 40% of the syllabus and score up to 100% marks in the examination.
Download EBook

Concepts Covered - 2

Motion of connected blocks over pulley

 

 

Equation of motion for $m_1$

$
F_{n e t}=T-m_1 g=m_1 a
$


Equation of Motion for $m_2$

$
\begin{aligned}
& F_{\text {net }}=m_2 g-T=m_2 a \\
& a=\frac{\left[m_2-m_1\right] g}{m_1+m_2} \\
& T=\frac{2 m_1 m_2 g}{m_1+m_2}
\end{aligned}
$
 

When one Block is hanging from a rope and one on the table
  1. When one Block is hanging, other is on the Table

 

           

     $\begin{aligned} a & =\frac{m_2 g}{m_1+m_2} \\ T & =\frac{m_1 m_2 g}{m_1+m_2}\end{aligned}$

 

  1. Three blocks, two are hanging and one is at the rest on the smooth horizontal table

   

 

      

$
\begin{aligned}
& m_1 a=m_1 g-T_1 \\
& m_2 a=T_2-m_2 g \\
& T_1-T_2=M a
\end{aligned}
$


$
\begin{aligned}
& a=\frac{\left(m_1-m_2\right) g}{m_1+m_2+M} \\
& T_1=\frac{m_1\left(2 m_2+M\right) g}{\left(m_1+m_2+M\right)} \\
& T_2=\frac{m_2\left(2 m_1+M\right) g}{\left(m_1+m_2+M\right)}
\end{aligned}
$
 

 

 

 

Study it with Videos

Motion of connected blocks over pulley
When one Block is hanging from a rope and one on the table

"Stay in the loop. Receive exam news, study resources, and expert advice!"

Get Answer to all your questions

Back to top