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AQA A2 Mathematics MM2B Mechanics 2 - Monday 22nd June 2015 [Exam Discussion Thread]

*** OFFICIAL AQA MECHANICS 2 MM2B JUNE 2015 EXAM DISCUSSION THREAD ***
UNOFFICIAL MARK SCHEME
1.
a) F=(−32sin⁡2t)i+(12cos⁡t)j\mathbf{F} = (-32 \sin 2t) \mathbf{i} + (12 \cos t) \mathbf{j} [3 marks]
b) When t=πt = \pi, F=12.0NF = 12.0 \text{N} [2 marks]
c) r=(2+2sin⁡2t)i−(11+3cos⁡t)j\mathbf{r} = (2 + 2 \sin 2t) \mathbf{i} - (11 + 3 \cos t) \mathbf{j} [5 marks]

2.
AC=5.50mAC = 5.50 \text{m} [4 marks]

3.
a) ii) KE=627JKE = 627 \text{J} [3 marks]
ii) v=6.26ms−1v = 6.26 ms^{-1} [2 marks]
b) μ=0.400\mu = 0.400 [3 marks]

4.
a) TAP=52.1NT_{AP} = 52.1 \text{N} [3 marks]
b) TBP=253v2−5gtan⁡20oT_{BP} = \frac{25}{3} v^2 - 5g \tan 20^{o} [4 marks]
c) v=2.90ms−1v = 2.90 ms^{-1} [3 marks]

5.
Rmin=2120NR_{min} = 2120 \text{N} [6 marks]
Rmax=2140NR_{max} = 2140 \text{N}

6.
θ=1.15o\theta = 1.15^{o} [9 marks]

7.
a) Show that −310 dvdt=v−2.94\dfrac{-3}{10}\ \dfrac{dv}{dt} = v - 2.94 [2 marks]
b) v=27.06e−103t+2.94v = 27.06 e^{\frac{-10}{3} t} + 2.94 [5 marks]
c) vv versus tt graph decaying exponentially - intercept at (0,30)(0,30) approaching asymptote when v=2.94v=2.94 [2 marks]

8.
a) Show that 5v2=306x−4x2−27045v^2 = 306x - 4x^2 - 2704 [4 marks]
b) Cord is stretched when xx is greater than 26metres26 \text{metres} [1 mark]
c) Maximum value of x=66.3mx = 66.3 \text{m} [2 marks]
d) i) Value of xx when vv is at a maximum: x=38.3mx = 38.3m [2 marks]
ii) Maximum speed: V=25.1ms−1V = 25.1 ms^{-1} [2 marks]

9.
μ=0.268\mu = 0.268 [8 marks]

Date: 22nd June 2015
Time: 09:00am
Duration: 1h 30m
______________________________

CORE 3 EXAM DISCUSSION THREAD:
http://www.thestudentroom.co.uk/showthread.php?t=3041463

CORE 4 EXAM DISCUSSION THREAD:
http://www.thestudentroom.co.uk/showthread.php?t=3041479

______________________________

RESOURCES:
(edited 8 years ago)
M2.1 Moments.ppt2721.3KB
M2.2 Centres of Mass.ppt1657.3KB
M2.3 Kinematics.ppt1797.1KB
M2.4 Newton_s Laws of Motion.ppt1273.9KB
M2.5 Differential Equations.ppt857.1KB
M2.6 Uniform Circular Motion.ppt2370.0KB
M2.7 Work and Energy.ppt1641.0KB
M2.8 Vertical Circular Motion.ppt1347.6KB

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Reply 1
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CD223
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How is everyone preparing? Does anyone have access to papers before 2005?

I've also updated links to the Core 3 and Core 4 exam threads in the original post.


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hey we've just started this unit in further maths AS, as we can't do D1. Wandering how everyone finds it?
Reply 3
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CD223
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Original post by bitofageek
hey we've just started this unit in further maths AS, as we can't do D1. Wandering how everyone finds it?


Hey, I've actually started this too not long ago too aha. Are you doing M1 as well then in pure maths I take it?

I've found it okay so far. Physics AS helps a lot, and I'm hoping physics A2 also helps with angular velocities, circular motion etc.

What topics have you done so far?


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Original post by CD223
Hey, I've actually started this too not long ago too aha. Are you doing M1 as well then in pure maths I take it?

I've found it okay so far. Physics AS helps a lot, and I'm hoping physics A2 also helps with angular velocities, circular motion etc.

What topics have you done so far?


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Yeah we're doing M1 in Normal Maths, we've just done moments and centres of mass.
Reply 5
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CD223
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Original post by bitofageek
Yeah we're doing M1 in Normal Maths, we've just done moments and centres of mass.


Oh right! I did M1 last year as I'm in second year, but I only do normal maths A2 aha. Oh fair enough! Manageable?


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Reply 6
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Tiwa
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How far is everyone in M2?
Reply 7
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TeeEm
19
should't this thread move to maths exams?

and if anybody does so could you please also move mine

http://www.thestudentroom.co.uk/showthread.php?t=3043497

(I have asked before)
Reply 8
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CD223
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Original post by TeeEm
should't this thread move to maths exams?

and if anybody does so could you please also move mine

http://www.thestudentroom.co.uk/showthread.php?t=3043497

(I have asked before)


I was hoping it should...


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Reply 9
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CD223
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Original post by Tiwa
How far is everyone in M2?


I've done moments and centre of mass so far. So not far 😂


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Reply 10
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Tiwa
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Original post by CD223
I've done moments and centre of mass so far. So not far ������


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Ah, alright.
Reply 11
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CD223
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Original post by Tiwa
Ah, alright.


How about you?


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Reply 12
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Tiwa
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Original post by CD223


We've basically almost finished. We're on circular motion. Just about 3/4 more lessons and we would have finished the course.
Reply 13
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CD223
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Original post by Tiwa
We've basically almost finished. We're on circular motion. Just about 3/4 more lessons and we would have finished the course.


Ah nice. Do you do Physics?


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Reply 14
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Tiwa
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Original post by CD223
Ah nice. Do you do Physics?


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Yep! I do OCR A Physics.
Reply 15
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CD223
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Original post by Tiwa
Yep! I do OCR A Physics.


Would you say that the content overlapping has helped you with M2?


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Original post by CD223
How is everyone preparing? Does anyone have access to papers before 2005?

I've also updated links to the Core 3 and Core 4 exam threads in the original post.


Posted from TSR Mobile

I'm taking this exam. I'm also self studying M3. I don't think M2 will be very difficult as it seems a combination of common sense, differential equations and calculus and knowledge which I already have from physics (OCR A).

freeexampapers.com goes back to 2004, but I don't have access to any before that.
Reply 17
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CD223
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Original post by morgan8002
I'm taking this exam. I'm also self studying M3. I don't think M2 will be very difficult as it seems a combination of common sense, differential equations and calculus and knowledge which I already have from physics (OCR A).

freeexampapers.com goes back to 2004, but I don't have access to any before that.


Oh nice! Not too sure whether an M3 thread exists yet. I hope it goes okay. I just want 90% in C3 and C4. If that happens than I can feel a lot better over it! Yeah it's good that physics overlaps and some content is similar to that already studied. What is M3 like? Aha.


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Original post by CD223
Oh nice! Not too sure whether an M3 thread exists yet. I hope it goes okay. I just want 90% in C3 and C4. If that happens than I can feel a lot better over it! Yeah it's good that physics overlaps and some content is similar to that already studied. What is M3 like? Aha.


Posted from TSR Mobile

I'm not taking the M3 exam, I'm just studying M3 for STEP. I already have loads of exams early to mid June, so M3 as well would be too much.

I've only been doing M3 for a week, but so far it's good. I've done relative motion and dimensional analysis so far. The collision chapters are the stuff I really need to know, but I thought I may as well do the whole module because more mechanics knowledge will always help.
Reply 19
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CD223
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Original post by morgan8002
I'm not taking the M3 exam, I'm just studying M3 for STEP. I already have loads of exams early to mid June, so M3 as well would be too much.

I've only been doing M3 for a week, but so far it's good. I've done relative motion and dimensional analysis so far. The collision chapters are the stuff I really need to know, but I thought I may as well do the whole module because more mechanics knowledge will always help.


Oh right. Sounds like you've got a large workload! What do you want to do at uni and where?:smile:


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