Question

A curve of radius 68 m is banked for a designed speed of 85km/h. If the coefficient of static friction is 0.30, at what range of speeds can a car safely make the curve? (You must show schematic and free-body diagrams, and apply Newton's 2nd law of motion.)

Answer 1

Ncuso p frosotnsino Ifsino f- foiction No normal Reaction, mg =W= weight my Efy => Ncoso = my + + fsino : fun Nz NOUSO - unsino= my NECESSE - usino] = my mg Cosu-usino ΣΕ, Emet = Nsinet frose Nsino + UNCUSO N[singt moso] my [sinatucose (coso-usino) Feet = sinot to costo Cost-essing my ng 1-utano Fret [By 2nd Law Newtons ns] my2 tungtill Frentripital (I marmuz my (elt tamo -utano v=untano ) 89 (1-litano)

without friction are. Nroso non Noso= my vry-g >nsino (0) Nsino=ma - my my ve Nsino = my2 e (from op 2 tang- > V- sg puzzle For given case: 81 V=85km = 88 x 5 23.611m)sec hr 8= Gom, tune= (23-611) tomo = 0.83 68 X 9. 8 10- O = 39.91

Now after frietim, us 0:30 Yer = Jio [o: 30+ ton (3-1)] 188) (9.8) 1-(0.3) farm 139.91) Vmax = fron-ne = 31.79 msec. 114.476 km/h speed increases from 85km) to 114.476 Konlu an please Thumb need your HOP