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What horizontal force must be applied to the cart shown in the figure* given below so that the blocks remain stationary relativ to the cart? Assume all surfaces of the wheels and the pulley are frictionless.
* - to get the image,, go to google images and type - "what horizontal force must be applied to the cart" and the first image is the image of this question. Since i could not copy and paste the link in the editor and inserting image would take some time to be veiwable on the forum, this was m last resort. So please help me out guys.
let acceleration of the system be a
a=F/(m1 + m2)
let tension in string be T
then from f.b.d of m1
T=m1*a so that it remains at rest relative to cart (note that our reference frame is the cart, hence a pseudo force will act on each of the masses towards the left) ............ (1)
where m1*a is the pseudo force acting on m1
again from f.b.d of m2
T=m2*g where g is the acc due to gravity .....................(2)
from (1) and (2)
m1*a=m2*g
substituting the value of a you will get
F=((m1 + m2)m2*g)/m1 which is ur required answer
im very sorry, i had not noticed that the cart had mass...
not much change is required though, jst calculat a as a=F/(M + m1 + m2)
then proceed...
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