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Reply 1
draw weight going down, reaction perpendicular to plane, friction going down, then resolve the 40N and weight
then do
in equilibrium, friction≤ur
then solve all the equations :smile:
Reply 2
On your diagram, draw on the forces for weight (vertically downwards) and normal contact force (perpendicular to the slope). You also have the frictional force parallel to the slope but you don't know its direction yet.

Now resolve parallel to the slope. Using trigonometry, you can calculate the components of the weight force and the 40N. You know that the net force on the block must be zero since the block is in equilibrium. See if you can work out the friction from here. If you get stuck, please post back.

As for tension, the tension of a rope is the same as the force it's exerting on the object. For example, if you had a ball hanging from a rope in equilibrium with weight 10N then the rope must be exerting an upward force of 10N on the ball, so the tension in the rope is 10N.

Another useful thing about tension is that if you had a rope joined from one object to another, then the rope's tension is the same as the force it's exerting on the first object, which is the same as the force it's exerting on the second object.
My exam is on 27th Jan.

I am really bad at M1. I have done quite a few past papers and the best I have got is 49%. I have seen a similar question before but I just left it out and I couldn't ask online because my internet was broken.


ttoby
Now resolve parallel to the slope. Using trigonometry, you can calculate the components of the weight force and the 40N. You know that the net force on the block must be zero since the block is in equilibrium. See if you can work out the friction from here. If you get stuck, please post back.


Does that mean I do 40cos(35) to get the parallel component:

40cos(35) = 32.766 (is the unit Newtons?)

So the Friction = F - 32.766 = 0

F = 32.766N

Is that the right answer?
(edited 4 years ago)
I also can't do the last three parts of Q6. I thought for part (ii) that I have to integrate, but I don't know where T will come in.
Reply 5
claret_n_blue

Does that mean I do 40cos(35) to get the parallel component:

40cos(35) = 32.766 (is the unit Newtons?)
Yes, that's correct.

So the Friction = F - 32.766 = 0

F = 32.766N

Is that the right answer?

No, you still need to take in to account the component of the weight force acting on the block, which is 100sin35.
ttoby
Yes, that's correct.
No, you still need to take in to account the component of the weight force acting on the block, which is 100sin35.



So, becuase the system is in equilibrium F + 40cos(35) = 100sin(35)

Friction = 100sin(35) - 40cos(35)
F = 24.59N

Is that right?
Reply 7
claret_n_blue
So, becuase the system is in equilibrium F + 40cos(35) = 100sin(35)

Friction = 100sin(35) - 40cos(35)
F = 24.59N

Is that right?

Yes, that's correct :smile:
Reply 8
claret_n_blue
I also can't do the last three parts of Q6. I thought for part (ii) that I have to integrate, but I don't know where T will come in.

Would you be able to either post the question or link to the paper, and we should be able to help you with it.
Reply 9
sorry for intrude, but does anyone know where can I find past paper -->MEI M1<-- with WORKOUT SOLUTION... I got some M1 past papers but I can't solve some of the questions.... that's why I'm asking for WORKOUT SOLUTION... thx
Reply 10
tytanek1232
sorry for intrude, but does anyone know where can I find past paper -->MEI M1<-- with WORKOUT SOLUTION... I got some M1 past papers but I can't solve some of the questions.... that's why I'm asking for WORKOUT SOLUTION... thx

Have a look at http://www.mei.org.uk/index.php?section=papers&page=alevelpapers#M1 and click the link for the year you want. They put the question paper, mark scheme and examiner's report into one pdf.
ttoby
Have a look at http://www.mei.org.uk/index.php?section=papers&page=alevelpapers#M1 and click the link for the year you want. They put the question paper, mark scheme and examiner's report into one pdf.


I knew that website...but... What I am looking for is a WORKOUT SOLUTION for those past papers. Thanks:smile:
I knew that website...but... What I am looking for is a WORKOUT SOLUTION for those past papers. Thanks:smile:
Reply 13
tytanek1232
I knew that website...but... What I am looking for is a WORKOUT SOLUTION for those past papers. Thanks:smile:

Which particular questions are you finding difficult? It might be easier to just answer them here if the mark scheme is not giving you enough help.
Ok... if you look on the past paper MEI, M1, 23 May 2008. 4761/01... Section A, question 4 and Section B the whole questin 7 especially part (iii) and (iv).
Thanks a lot.
Reply 15
4. (i) We want the constant acceleration formulae for this. We are dealing with displacement, time, initial velocity and acceleration, so the relevant formula here is s=ut+12at2s=ut+\frac{1}{2}at^2.

For P, we have sP=0t+12(0.5)t2=14t2s_P=0t+\frac{1}{2}(0.5)t^2=\frac{1}{4}t^2

For Q, we have sQ=10t+12(0)t2=10ts_Q=10t+\frac{1}{2}(0)t^2=10t

Notice that these two distances are measured from different points.

(ii) The particles will catch up with each other when P has travelled 125m further than how far Q has travelled. Look at the diagram to try and convince yourself of this. So we want to solve sP=sQ+125s_P=s_Q+125

14t2=10t+125\frac{1}{4}t^2=10t+125

t240t500=0t^2-40t-500=0

(t50)(t+10)=0(t-50)(t+10)=0

so t=50 or t=-10. We are not interested in negative time so we take t=50 as our answer. To find out how far P has travelled in this time, substitute our answer into our equation for sPs_P.

Therefore, sP=14t2=14502=625s_P=\frac{1}{4}t^2=\frac{1}{4}50^2=625

So it takes 50s for P to catch up with Q, and P has travelled 625m in this time.

You wouldn't need to put all this explanation into your answer, this is just to help you understand it. I need to go now though so I'll have a look at question 7 later.
Reply 16
7. I'll go through the first bit fairly briefly as you said you wanted me to concentrate on (iii) and (iv).

(i) The string is light and the ring is smooth
(ii) Resolving horizontally, 60cosα=60cosβ60\cos\alpha=60\cos\beta so cosα=cosβ\cos\alpha=\cos\beta so α=β\alpha=\beta

(iii) Resolving vertically, the force from the left hand string is 60sinα60\sin\alpha and the force from the right hand string is 60sinβ60\sin\beta. But since we know that alpha=beta, we can say that the force from the right hand string is 60sinα60\sin\alpha as well. Then there is the weight force which is 8g.

Therefore we have:
60sinα+60sinα=8g60\sin\alpha+60\sin\alpha=8g

120sinα=8g120\sin\alpha=8g

sinα=8g120=4975\sin\alpha=\dfrac{8g}{120}=\dfrac{49}{75}

α=β=sin14975=40.8\alpha=\beta=\sin^{-1}\frac{49}{75}=40.8^\circ (3 s.f.)

(iv) Here, the strings will have two different tensions, call them TPT_P and TQT_Q. You'll need to resolve horizontally and vertically to get two simultaneous equations involving the two tensions.

Resolving horizontally, TQcos25TPcos45+10=0T_Q\cos25^\circ-T_P\cos45^\circ+10=0

Resolving vertically, TQsin25+TPsin458g=0T_Q\sin25^\circ +T_P\sin45^\circ - 8g = 0

There are lots of ways of solving two simultaneous linear equations in two unknowns, so just choose your favourite method. I will now use one of these methods to solve the equations:

TPcos45=TQcos25+10=TP22T_P\cos45^\circ = T_Q\cos25^\circ +10 = T_P\frac{\sqrt{2}}{2}
TPsin45=TQsin25+8g=TP22T_P\sin45^\circ = -T_Q\sin25^\circ + 8g = T_P\frac{\sqrt{2}}{2}

TQcos25+10=TQsin25+8g T_Q\cos25^\circ +10 = -T_Q\sin25^\circ + 8g

TQ(cos25+sin25)=8g10 T_Q(\cos25^\circ + \sin25^\circ) = 8g-10

TQ=8g10cos25+sin25=51.5T_Q=\dfrac{8g-10}{\cos25^\circ + \sin25^\circ}=51.5 (3 s.f.)

TP=2(TQcos25+10)=80.1T_P=\sqrt{2} (T_Q\cos25^\circ +10)=80.1 (3 s.f.)

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