A-LevelMathematicsMechanics9709/52 · May/June 2017 · Q25 Marks
The ends of two light inextensible strings of length 0.7 m are attached to a particle P. The other ends of the strings are attached to two fixed points A and B which lie in the same vertical line with A above B. The particle P moves in a horizontal circle which has its centre at the mid-point of AB. Both strings are inclined at 60° to the vertical. The tension in the string attached to A is 6 N and the tension in the string attached to B is 4 N [Figure 2.1].
- (i)Find the mass of P.[2]
- (ii)Calculate the speed of P.[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 2017). The mark or mark type is shown in brackets.
- [M1] Resolve vertically
- [A1] m = 0.1 kg
- [B1] radius = 0.7sin60
- [M1] Uses Newton's Second Law horizontally with 3 terms
- [A1] v = 7.25 m s¯¹
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