Pulleys and strings

In the above figure, P 1 P_{1} and P 2 P_{2} are massless pulleys, P 1 P_{1} is fixed and P 2 P_{2} can move. Masses A , B A,B and C C are 9 m 64 , 2 m \dfrac{9m}{64},2m and m m respectively. All surfaces are smooth and the string is massless. If it is given that θ = tan 1 ( 3 4 ) \theta=\tan^{-1}\left(\dfrac{3}{4}\right) , find the magnitude of acceleration of block C C in ms 2 \text{ms}^{-2} .


The answer is 3.

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1 solution

N sin x = (9/64)mA

2mg - T - N cos x = 2mB

2T - mg = mC

A tan x = B = 2C

C = 0.3 g

Two things i want to mention 1. Mention g = 10 m/sec^2 to avoid confusion because thats only an approximation

My next question is to you @Ramon Vicente Marquez

What will be the normal reaction between block A and vertical wall be doing?

Prakhar Bindal - 4 years, 11 months ago

The normal force between A and the vertical wall has to be zero. If this force were not zero, then there must be a force that pushes A towards the vertical wall.

Ramon Vicente Marquez - 4 years, 11 months ago

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Wait i think system is going to left isn't it?

Prakhar Bindal - 4 years, 11 months ago

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the only way for the system to move from the given initial position shown in the figure is if A moves to the left

Ramon Vicente Marquez - 4 years, 11 months ago

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@Ramon Vicente Marquez Yeah then Why would the Normal reaction will be zero? . Block A Will loose contact Immediately from the wall right?

Prakhar Bindal - 4 years, 11 months ago

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@Prakhar Bindal Yes. Normal force is zero since A loses contact with the wall.

Ramon Vicente Marquez - 4 years, 11 months ago

Ohhh but my method was exactly the same,lemme check my solution!

Adarsh Kumar - 4 years, 11 months ago

Even though my method was the exact same,in the end I got 9g/28.Which I approximated to 3.Is this right? @Ramon Vicente Marquez

Adarsh Kumar - 4 years, 11 months ago

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That was just a coinicidence . i solved got exact 3g/10

Prakhar Bindal - 4 years, 11 months ago

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I got my mistake!One minus can make one heluva difference :P.

Adarsh Kumar - 4 years, 11 months ago

9 g / 28 is wrong. the exact answer is 0.3 g. check your math.

Ramon Vicente Marquez - 4 years, 11 months ago

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I got it thanx!

Adarsh Kumar - 4 years, 11 months ago

@Prakhar Bindal
There would be no normal reaction between A and vertical wall because A is just touching the wall.

Jeevesh Joon - 4 years, 8 months ago

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