Horizontal circular motionEdexcel A-Level Further Maths: Mind map

Exam questions on Horizontal circular motion

1. A particle of mass 0.4 kg moves in a horizontal circle of radius 0.5 m with constant angular speed 6 rad s⁻¹.
   Find the magnitude and direction of the resultant force on the particle.2 marks
2. A cyclist and bicycle, of total mass 90 kg, travel at constant speed round a circular track of radius 40 m. The track is banked at $20^\circ$ to the horizontal and the cyclist experiences no sideways frictional force. The cyclist and bicycle are modelled as a particle and $g=9.8$ m s⁻².
   Find the normal reaction between the track and the bicycle.2 marks
3. A particle $P$ of mass 0.5 kg is attached to one end of a light inextensible string of length 1.2 m. The other end of the string is attached to a fixed point $O$. $P$ moves in a horizontal circle with constant angular speed, with the string taut and making a constant angle of $60^\circ$ with the downward vertical through $O$. Take $g=9.8$ m s⁻².
   Find the tension in the string and the radius of the circle.3 marks