Answer:
Explanation:
Given that,
The radius of a bend, r = 20 m
Velocity of motorcyclist, v = 3 m/s
The combined mass of motorcyclist and the motorcycle is 50 kg
We need to find the motorcyclist’s centripetal acceleration. The formula used to find the centripetal acceleration is given by :
So, the acceleration of the motorcyclist is .
Answer:
Explanation:
The equation for kappa ( κ) is
we can find the maximum of kappa for a given value of b using derivation.
As b is fixed, we can use kappa as a function of a
Now, the conditions to find a maximum at are:
Taking the first derivative:
This clearly will be zero when
as both are greater (or equal) than zero, this implies
The second derivative is
We dcan skip solving the equation noting that, if a=b, then
at this point, this give us only the first term
if a is greater than zero, this means that the second derivative is negative, and the point is a minimum
the value of kappa is