The discussion revolves around determining the minimum coefficient of friction required for a vehicle to decelerate from a speed of 100 km/hr to a standstill with a specified deceleration of 1G (3.2 m/s²). Participants are exploring the relationship between friction and braking force in the context of vehicle dynamics.
The discussion is ongoing, with participants providing insights into the forces at play and questioning the assumptions made about gravitational acceleration. There is an emphasis on the need for participants to show their work before receiving further guidance, indicating a focus on understanding the problem rather than simply arriving at a solution.
Participants are reminded of forum rules requiring them to demonstrate their efforts before receiving help. There is also a mention of differing values for gravitational acceleration, which may affect the calculations being discussed.
akki2063 said:A road vehicle equipped with mechanical wheel brake e.g drum or disc brake ,driving at a speed of 100Km/hr is braked to a stand still with a deceleration of 1G (3.2m/sec^2),How large must be the coefficient if friction between wheel and road at least be to enable that.
Options:
1)At least 1.
2)0.5
3)2
Mentz114 said:The force exerted on the truck when the brakes come on ( and lock the wheels) is mg, g=3.2ms-2 and m is the trucks mass.
Can you calculate the force provided by the friction in terms of the coefficient of friction ?
(Incidentally the acceleration on the Earth's surface is about 9.7ms-2, not 3.2)