Question

Two small spheres of masses m connected by a string of length 2l are kept on a horizontal smooth plane .A vertical force F is applied at the middle of the string.What is the minimum value of F for which the spheres do not lose contact with the plane?

Answer 1

$\huge \bf{ \purple{hey}}$
$\huge{ \mathfrak{ \red{here \: is \: answer}}}$


$\bf{ \blue{given}}$

mass of one sphere= m

now

mass of two spheres=2m

and length=2l

now

vertical force applied at middle

so constant force=

$\bf{f = \frac{m2g}{2}}$


now take m=2m

because there are 2 spheres.

now

$\sf{ \frac{2m2g}{2}}$

$\bf{ = 2mg}$


$\huge \boxed{ \boxed{ \orange{hope \: it \: helps}}}$


$\huge{ \pink{thanks}}$

Answer 2

$\huge \bf \green{Hey \: there !! }$



▶ Given :-

→ Two small spheres of masses m is connected by a string .

[ °•° masses of two spheres = m + m = 2m ] .

→ Length of string = 2l .

→ Kept on horizontal smooth plane .


▶ To find :-

→ The minimum value of F for which the spheres do not lose contact with the plane .


$\huge \boxed{ \blue{ \bf \mathcal{S}olution :- }}$


→ Vertically force applied on the middle .

So, the constant force =

$F = \frac{m2g}{2} . \\ \\ (m = 2m). \\ \\ \implies F = \frac{2m \cancel2g}{ \cancel2} . \\ \\ \huge \boxed{ \pink{ \therefore F = 2mg.}}$


✔✔ Hence, it is solved ✅✅.



THANKS


#BeBrainly.