Particles and pulley: Question
Two particles E and F of masses 0.5 kg and 0.7 kg respectively are connected by a light inextensible string.
Particle E rests on a smooth horizontal table, 1 m from a fixed smooth pulley at the edge of the table.
The string passes over the pulley and F hangs freely 0.75 m above the floor.
The system is released from rest with the string taut.
After 0.5 s the string breaks.
Find:
(a) the distance the particles have moved when the string breaks
(b) the velocity of the particles when the string breaks
(c) the further time that elapses before E hits the floor, given that the table is 0.9 m high
Notes:
- assume g = 9.8 ms^-2
- parts (a) and (b) are relatively easy, part (c) quite difficult.
Particle E rests on a smooth horizontal table, 1 m from a fixed smooth pulley at the edge of the table.
The string passes over the pulley and F hangs freely 0.75 m above the floor.
The system is released from rest with the string taut.
After 0.5 s the string breaks.
Find:
(a) the distance the particles have moved when the string breaks
(b) the velocity of the particles when the string breaks
(c) the further time that elapses before E hits the floor, given that the table is 0.9 m high
Notes:
- assume g = 9.8 ms^-2
- parts (a) and (b) are relatively easy, part (c) quite difficult.
posted by Eau at 11:59 pm
6 Comments:
hey, good luck for double further. whereas for me...no more mech for the rest of my life! hopefully.
thanks, but this is just a M1 question - so you should be able to do it...
easy enough, of course rounding decimals enough times will lead to some degree of inacuracy.
by my count:
a) distance traveled when the string breaks, S= 0.6m
b) the velocity when the string breaks is, v= 2.3ms^-1
c) time for particle E to hit the floor is, t= 0.44 seconds
raw_onion,
your answers are literally correct to zero significant figures, lol
Felix
a) 0.715m
b) 2.858m/s
c) 1.028s
... I hope I win.. :)
captain_anubis,
if you wanna win, try the science quiz.
your first two answers are correct, the last is wrong.
show your working for the last question and perhaps I can point out where you got wrong.
Felix
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