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When a car is rounding a bend on a flat road, the centripetal force is provided by the friction between the road and the tires. During a wet day the friction disappears and it becomes difficult or even dangerous to negotiate such a bend. This is overcome by banking the road as shown below. centre of circular path 200 m For a bend of radius 200 m, find the angle 0 such that a 1500 kg car moving with speed 80 km h' can negotiate the bend without sideward friction providing for the centripetal force. (a) (b) A 2000 kg car is now moving on the same wet bend at 80 km h'. State with a reason if the car is able to negotiate the bend with skidding. Sketch the free body diagram of the car if it is moving round the bend at a speed (i) greater than 80 km h' (ii) lesser than 80 km h' Write down the equations relating the horizontal forces acting on the car in both situations. (c)

When a car is rounding a bend on a flat road, the centripetal force is provided by the friction between the road and the tires. During a wet day the friction disappears and it becomes difficult or even dangerous to negotiate such a bend. This is overcome by banking the road as shown below. centre of circular path 200 m For a bend of radius 200 m, find the angle 0 such that a 1500 kg car moving with speed 80 km h' can negotiate the bend without sideward friction providing for the centripetal force. (a) (b) A 2000 kg car is now moving on the same wet bend at 80 km h'. State with a reason if the car is able to negotiate the bend with skidding. Sketch the free body diagram of the car if it is moving round the bend at a speed (i) greater than 80 km h' (ii) lesser than 80 km h' Write down the equations relating the horizontal forces acting on the car in both situations. (c)

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When a car is rounding a bend on a flat road, the centripetal force is provided by the friction between the road and the tires. During a wet day the friction disappears and it becomes difficult or even dangerous to negotiate such a bend. This is overcome by banking the road as shown below. centre of circular path 200 m (a) For a bend of radius 200 m, find the angle 0 such that a 1500 kg car moving with speed 80 km h' can negotiate the bend without sideward friction providing for the centripetal force. (b) A 2000 kg car is now moving on the same wet bend at 80 km h'. State with a reason if the car is able to negotiate the bend with skidding. (c) Sketch the free body diagram of the car if it is moving round the bend at a speed (i) greater than 80 km h' (ii) lesser than 80 km h' Write down the equations relating the horizontal forces acting on the car in both situations.
Transcribed Image Text:When a car is rounding a bend on a flat road, the centripetal force is provided by the friction between the road and the tires. During a wet day the friction disappears and it becomes difficult or even dangerous to negotiate such a bend. This is overcome by banking the road as shown below. centre of circular path 200 m (a) For a bend of radius 200 m, find the angle 0 such that a 1500 kg car moving with speed 80 km h' can negotiate the bend without sideward friction providing for the centripetal force. (b) A 2000 kg car is now moving on the same wet bend at 80 km h'. State with a reason if the car is able to negotiate the bend with skidding. (c) Sketch the free body diagram of the car if it is moving round the bend at a speed (i) greater than 80 km h' (ii) lesser than 80 km h' Write down the equations relating the horizontal forces acting on the car in both situations.
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