A scooter or a motor-cycle is a compound machine made up of several simple machines. Study the following parts of a scooter/motor cycle and identify the simple machines involved in them.
(i) Clutch levers (ii) Throttle
(iii) Front brake lever (iv) Rear brake pedal
(v) Stand (vi) Rear view mirror
(vii) Wheels (viii) Chain drive
A person weighing 50 kg, moves on a scooter of 100 kg at a speed of 36 km `h^(-1)` and applies brakes to stop within a distance of 10m. If the mechanical advantage of the brake system (comprising brake drum, lever, etc.) is `10^(3)`, find the force with which the person should press the foot pedal to stop the vehicle.

Explanation

(i) Equations of motion, Newton's second law of motion and principle of moments.
(ii) Calculate retardation using ` a = (V^(2)-u^(2))/(2S)`
`(iii) Calculate the braking (retarding ) force using F = M.A., where 'm' is the combined mass of the scooter and the person.
(iv) Calculate effort using:
effort = load/M.A. = F/M.A.
(v) 1.5 N