Question

Represents a 2-pulley system. if we want to pull up the ball of mass 10kg, what will be the tension in rope?

Answer 1

Given:

A 2 - pulley system has to be drawn which could be used to pull up a mass of 10 kgs.

To find:

Tension in the rope?

Calculation:

Let us consider a 2-pulley system as shown in the figure , the constituents of this system are are:

• A free pulley
• A fixed pulley
• 10 kg block

Now , we shall assume that we are pulling the free end of the string with a force F , and the acceleration of block be "a".

Now , since we're pulling the strings with "F" the tension developed in the stream will also be "F".

$\boxed{ \bold{tension \: in \: main \: string = F}}$

Now , let's calculate the acceleration of the block:

$\rm{ = > \: 2T - 10g = 10a}$

$\rm{ = > \: 2F - 10g = 10a}$

$\rm{ = > \: 2F - 10(10) = 10a}$

$\rm{ = > \: 2F - 100 = 10a}$

$\rm{ = > \: a = \dfrac{2F - 100}{10} }$

So, acceleration is:

$\boxed{ \bold{\: a = \dfrac{2F - 100}{10} }}$