Mathematics > As Level Question Papers > > Tuesday 19 October 2021 – Afternoon A Level Further Mathematics B (MEI) Y431/01 Mechanics Minor (All)
> Tuesday 19 October 2021 – Afternoon A Level Further Mathematics B (MEI) Y431/01 Mechanics Minor
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Answer all the questions. 1 (a) State the dimensions of force. [1] The force F required to keep a car moving at constant speed on a circular track is given by the formula F r mv 2 = , where ... • m is the constant mass of the car, • v is the speed of the car, • r is the radius of the circular track. (b) Verify that the formula is dimensionally consistent. [2] (c) Determine the percentage increase in force required to keep a car moving on a circular track if the speed of the car were to increase by 10% and if the track radius were to decrease by 10%. [2] It is proposed that a new unit of force, the trackforce (Tr), should be adopted in motor-racing. 1Tr is defined as the amount of force required to accelerate a mass of 1 ton at a rate of 1 mile per hour per second. It is given that 1 ton = 1016kg and 1 mile = 1609m. (d) Determine the number of newtons that are equivalent to 1Tr. [2]3 © OCR 2021 Y431/01 Oct21 Turn over 2 The diagram shows a uniform beam AB that rests with its end A on rough horizontal ground and its end B against a smooth vertical wall. The beam makes an angle of i° with the ground. B i° A The weight of the beam is WN. The beam is in limiting equilibrium and the coefficient of friction between the beam and the ground [Show More]
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