A-LevelMathematicsMechanics9709/51 · May/June 2019 · Q15 Marks
A particle P of mass 0.3 kg is attached to a fixed point A by a light inextensible string of length 0.8 m. The fixed point O is 0.15 m vertically below A. The particle P moves with constant speed vms¯¹ in a horizontal circle with centre O [Figure 1.1].
- (i)Show that the tension in the string is 16 N.[2]
- (ii)Find the value of v.[3]
This question uses a diagram from the original paper, which isn't shown here. Open the full paper from the past papers archive to see it.
Mark scheme
Marking points from the official mark scheme (May/June 2019). The mark or mark type is shown in brackets.
- [M1] Resolve vertically. Ѳis the angle between the string and the vertical
- [A1] T=16 N
- [B1] r=0.78581...
- [M1] Use Newton's Second Law horizontally
- [A1] v = 6.416
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