hey guys...i want to know,what happens when a cylinder is rolled on a frictionless surface in a vacuum,for how long will it keep on rolling....and what happens if we applied some force.......?..please help meeee....
If you leave a cylinder in vaccum with only traslational velocity , it would continue moving without stopping for infinite period of time( remember, there is no force to slow the motion of the cylinder as you have assumed that there is no air drag/friction), moreover it won't develop any rotational velocity in due course of motion.
If you leave it with a non zero rotational velocity and and translational velocity , it will continue to remain in this state.
Now if you applied a force , then it will de-accelerate the cylinder, with a=F/m.
Secondly the applied force will provide a torque about the centre of mass of the cylinder. Torque=F*(r-R)/(M*(r^2)/2). Where R is the radius of cylinder , and r is the perpendicular distance of the point of application of force with ground. This may increase or decrease 'alpha' depending on the value of r. Take a note-'Changing v will not change 'omega' is this case or vice-versa '
If there is no friction, then how does it roll?
So if there is no friction, how long will the cylinder slide? ... since there is no force impeding it, then it will continue with the same velocity forever: Newton's First Law of Motion.
If there is some force opposing it - well if you know all of the numbers, then you can calculate when it will stop.
If a positive force is applied - perhaps light pressure, or solar wind - then the object will speed up. If it is unopposed it will gain speed. Under these circumstances it will approach tthe speed of light ... but it will never get there.hey thanks dude,one thing:is there something like when a force is applied,the cylinder will accelerate till it almost reaches the speed of light??....
VOILA..!!....now i know two important things..:
1)that an object will keep on going,satisfying newton's first law and
2)if force is applied the object will accelerate till it almost reaches the speed of light....
AM I RIGHT FELLAS......??NEED TO KNOW THIS...
i feel your second point is not a matter to think about as it's practically impossible,
though i've not learnt quantum one cannot judge with most accuracy and no experimental proof
'c' is something like ∞ i.e. it cannot be reached
mind me saying it may be wrong
Correct ... as you add internal energy to an object it gains mass.
As it cools it will radiate away the extra energy, and lose the mass.
These amounts are quite small.