A circular track of radius 400 m is kept with outer edge raised to make 5 degree with the horizontal. Calculate the maximum permissible speed of the car if the coefficient of friction is 0.2.

A circular track of radius 400 m is kept with outer edge raised to mak

1.	A circular track of radius 400 m is kept with outer edge raised to make 5 degree with the horizontal. Calculate the maximum permissible speed of the car if the coefficient of friction is 0.2.
Answer» SOLUTION :`R =400 m, THETA = 5^@, mu_s = 0.2` ` v_max = SQRT Rg(tan theta + mu_s)/1-mu_s tan theta = sqrt 400 xx9.8 (tan 5^@ + 0.2) /1-0.2 xx tan 5^@ = 33.87 MS^(-1)`