As i'm feeling a bit out of good questions, let's try out these good problems from Irodov:
A car moves on the road in the form of the curve y=Sin(x)...x and y axes constituting the horizontal plane.
It moves with a constant speed. The coeff. of friction b/w the road and car is 3/4.
Whats the maximum speed with which the car can move without skidding?? Neglect all rotational effects.
sqrt(mu*g)
ReplyDeleteis the answer is sqrt[(3/4)g]
ReplyDeletegot the same ans
ReplyDeletesame here
ReplyDelete(4+(pi)^2)*3*g/32
ReplyDeletei mean sqrt of the above ans
ReplyDeletesqrt ((4+(pi)^2)*3*g/32)
na ankush...you got something wrong.
ReplyDeleteothers were right.
Here are a few facts regarding the sinusoidal curves:
1) The area bounded b/w 0 and pi/2 is 1.
2) The radius of curvature at the maximas and minimas is also 1!!
"The radius of curvature at the maximas and minimas is also 1!!"
ReplyDeletei dint knw this
also??? i should say that the radius is 1 ONLY at maximas and minimas...
ReplyDeleteand this is no FACT...you can very easily derive this..i guess you are all familiar with radius of curvature calculations for any function?
no we are not....i did some googling for that....
ReplyDeletedon't know about others...
bhaiya we have done only basic calculus....kinematics wali
ReplyDeletehey, i bet you know this:
ReplyDeleter
=[1+(dy/dx)^2]^(3/2)
-------------------
(d2y/dx2)
if not how could akash and sambhav and amrit do it??
anyways, it was taught to us during Kinematics...
i told u bhaiya i googled it...
ReplyDeletewe were actually not taught anything like that
getting the same ans. sqrt[(3/4)g]
ReplyDelete