FIND ACCELERATION OF BLOCK OF MASS 4M JUST AFTER THE SYSTEM IS RELEASED FROM REST
FIND ACCELERATION OF BLOCK OF MASS 4M JUST AFTER THE SYSTEM IS RELEASED FROM REST
Utkarsh Singh , 7 Years ago
Grade 12th pass
Mechanics> FIND ACCELERATION OF BLOCK OF MASS 4M JUS...
2 Answers
Arun
Last Activity: 7 Years ago
Dear Utkarsh
Figure attached is unclear in my system. Please check and re attach the image
I will be hapy to help you.
Regards
Arun
Piyush Kumar Maurya
Last Activity: 7 Years ago
First of all calculate theta , it will come out to be 37°.
Let T be the tension in string connected to mass m block. Since the string connected to 4m block is at an angle , we will resolve it, it comes out to be Tcos theta acting vertically upwards. let 'a' be the acceleration of 4m block downwards.
So by constrained
Tm * am = T4m * a4m ( tension *acceleration must bemust be equal for both mass m and 4m block)
T *am = Tcos theta *a
am = a*cos theta
free body diagram of 4 m block-
4mg - 2Tcos theta = 4ma.
Here theta = 37° , so cos theta = 4/5
4mg - 8T/5 = 4ma . (i)
Free body diagram of m block
T - mg = ma cos theta
T - mg = ma 4/5 . (ii).
On solving these two equations
a = 5g/11 (Ans)
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