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Motion Of Connected Blocks Over Pulley MCQ - Practice Questions with Answers

Edited By admin | Updated on Sep 25, 2023 25:23 PM | #NEET

Quick Facts

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

  • 20 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 m1 = 5kg and m2 = 4.8 kg tied to a string are hanging over a light frictionless pulley. What is the acceleration (in m/s) of the masses when lifted free to move?

( g = 9.8 m/s2 )

 

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

 

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

 

When one block is hanging, the other is on the Table as shown in the below figure.

For this case what is the formula of tension force between them?

Concepts Covered - 2

Motion of connected blocks over pulley

 

 

Equation of mation 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, the other is on the Table

 

           

     

$$
a=\frac{m_2 g}{m_1+m_2}
$$


$$
T=\frac{m_1 m_2 g}{m_1+m_2}
$$
 

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

   

 

      

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


$$
a=\frac{\left(m_1-m_2\right) g}{m_1+m_2+M}
$$


$$
T_1=\frac{m_1\left(2 m_2+M\right) g}{\left(m_1+m_2+M\right)}
$$


$$
T_2=\frac{m_2\left(2 m_1+M\right) g}{\left(m_1+m_2+M\right)}
$$
 

 

Study it with Videos

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

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