OCR GCE A LEVEL FURTHER MATHEMATICS A PAPER 1 QUESTION PAPER 2023 (Y543/01: Mechanics)
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OCR GCE A LEVEL FURTHER MATHEMATICS A PAPER 1 QUESTION PAPER 2023 (Y543/01: Mechanics). DOWNLOAD OFFICIAL AND VERIFIED OCR A LEVEL FURTHER MATHEMATICS A PAPER 1 QUESTION PAPER 2023 ON www.leakedexams.com.


 One end of a light inextensible string of length 0.8m is attached to a particle P of mass mkg. The
other end of the string is attached to a fixed point O. Initially P hangs in equilibrium vertically
below O. It is then projected horizontally with a speed of 5 3. ms
-1
 so that it moves in a vertical
circular path with centre O (see diagram).
O
P
P
5.3ms−1
0.8m
3 r
1
At a certain instant, P first reaches the point where the string makes an angle of 3r1 radians with
the downward vertical through O.
(a) Show that at this instant the speed of P is 4 5. ms
-1
. [3]
(b) Find the magnitude and direction of the radial acceleration of P at this instant. [3]
(c) Find the magnitude of the tangential acceleration of P at this instant. [2]