Do the question given in the sheet I have cropped the image

Do the question given in the sheet. I have cropped the image very carefully and checked it twice , so there is no problem in the question and the sheet. I have posted HDR picture so it is the best picture quality . Any way there is no problem . You only have to solve this question . Everything given in the question . I don\'t think you need any more info because there is nothing to tell you from my side . I have given everything perfect . So kindly solve this question as soon as possible .

Two blocks A and Br having masam mw and m., respectvety, by an shown in the figure. Calculate the acceleration the puleys to be massiess Under what condition wil bock A have downward acceleration

Solution

Here ,

let the tension in the string is T

Now , for the relation of acceleration is

2 * aA = aB

Now , balancing the forces on mA and mB

2T - mA * g = mA * aA

2T - mA * g = mA * aB/2

T = (mA * aB/2 + mA * g)/2

mB * g - T = mB * aB

mB * g - (mA * aB/2 + mA * g)/2 = mB * aB

aB = (2*mB*g - mA * g )/(2mB + mA/2)

the acceleartion of the mass B is (2*mB*g - mA * g )/(2mB + mA/2)