The Student Room Group

help on M1 question

yo i was on an m1 question, da nov 03 question 3

it says that "a heavy suitcase S of mass 50kg is moving through along a horizontal floor under the action of a force of magnitide P newtons. the force acts at 30degrees to the floor and S moves in a straight line at constant speed. the suitcase is modelled as a particle and the floor as a rough horizontal plane. the coeficent of frictin is 0.6"

my problem is dat i wud hav thought that the normal reaction force woulld be R=50g - Psin30 but da markscheme says that its R=50g + Psin30. And i dnt see y. any explanantion would be most appreciated.
jam_boy
yo i was on an m1 question, da nov 03 question 3

it says that "a heavy suitcase S of mass 50kg is moving through along a horizontal floor under the action of a force of magnitide P newtons. the force acts at 30degrees to the floor and S moves in a straight line at constant speed. the suitcase is modelled as a particle and the floor as a rough horizontal plane. the coeficent of frictin is 0.6"

my problem is dat i wud hav thought that the normal reaction force woulld be R=50g - Psin30 but da markscheme says that its R=50g + Psin30. And i dnt see y. any explanantion would be most appreciated.

The force P acts downwards.
Resolve vertically;
R - 50g - Psin30 = 0
R = 50g + Psin30
Reply 2
I got the same as you first time round - reckon the question's not being clear as to which direction P is pointing in: see the attachment, they're prob thinking of bottom sketch whereas top one what you and me had in mind.
oceane
I got the same as you first time round - reckon the question's not being clear as to which direction P is pointing in: see the attachment, they're prob thinking of bottom sketch whereas top one what you and me had in mind.

the top sketch is wrong.
The suitcase isn't attached to a string/rope as the question doesn't say so, so the force has to act from the back of the suitcase, not the front.
endeavour
It makes no difference. (You can pull a suitcase too!)

i suppose so.
I still would have gone for the bottom diagram.
I've just found the paper and the question gives you a diagram so all this discussion was for nothing.
Widowmaker
I've just found the paper and the question gives you a diagram so all this discussion was for nothing.

Yeah you were right, sorry -it does make a difference when resolving vertically and the question says to the floor.
Reply 7
from da diagram, how is it possible that P acts downwards? da answer is proberly clear but i cant seem y
There's a vertical component of P which acts vertically downwards (Psin30)
Forces acting up = forces acting down as it's equilibrium
R = 50g + Psin30
Reply 9
yh, resolving p vertically gives psin30 right,i see dat psin30 + da normal reaction counterbalance the weight of the suitcase, thanks 4 ur help
jam_boy
yh, resolving p vertically gives psin30 right,i see dat psin30 + da normal reaction counterbalance the weight of the suitcase, thanks 4 ur help

no, you are still getting confused with directions.
The normal reaction counterbalances the weight and the force Psin30, since the vertical motion perpendicular to the horizontal motion = 0.
Reply 11
ooooooooooooooooooooooooooo P ACTS DOWNWARDS!!!!!!!!!!!!!!!!!!!1 NOT UPWARDS
SILLY ME. thanks widowmaker n endeavour
so whats P = ?
Reply 13
yeh, what is P?? does any1 have the mark scheme 4 his paper?
Reply 14
resolve perp.
R=50g + Psin30

resolve para.
3/5R = Pcos30
30g + 3/5Psin30 = Pcos30
30g + 0.3P = Pcos30
30g = Pcos30 - 0.3P
294 = 0.566P

294 = P
0.566

P = 519n