Looks difficult.. find the equilibrium or final state...

A rod (red) is just release from the position shown here..

Where will the rod finally rest? (to the right, to the left) Why?

Clarifications: No friction..
Red part is the rod
Vertical Black line is a string
Blue top is wall/ roof/ ceiling
and black line below is the ground :P
String in inelastic..
The rod is free to move..

15 Answers

23
qwerty ·

force on COM in x direction is absent ....so x- coordinate of COM shud remain where it is .........

62
Lokesh Verma ·

Good.. so what if the situation now becomes this :

23
qwerty ·

i didnt get 1 thing ....released frm rest means release it as it is or cut the string ???
if it is the former ....then COM has accn towards left

62
Lokesh Verma ·

no it is just left.. the string is not cut...

The acceleration is towards the left.. but where will this string the tendency to stay after a very very long time....

(assuming that it loses energy veyr slowly)

1
alok ·

according to me, the string would be on a point on the circumference of a circle through which the torque due to strig is balanced by the torque of the string...
the circle is on d grnd..

62
Lokesh Verma ·

which is the circle ??

1
alok ·

through every point of which the torque due to ground(normal) is balanced by the torque due to the string...

62
Lokesh Verma ·

but then where will that point finally be?

You mean to say that it will keep rotating in a circle/???

62
Lokesh Verma ·

This one is unanswered!

11
virang1 Jhaveri ·

The rod will not move at all. The position drawn in the q. is at its equilibrium position
I may be wrong........

3
msp ·

@virang nishant sir didn said that in the given position the rod is in equilibrium.

62
Lokesh Verma ·

initially it will be oscillatory..

but it is losing energy very slowly.. (read the question)

So finally it will come to rest..

The question is where!

1
xYz ·

at the equilibrium position......as shown in very first figure

1
Shreyan ·

1
alok ·

but then
its frictionless surface
ie the base should hav a movement

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