Question 22 2 pts A neutral steer vehicle has a damping...

Question 22 2 pts A neutral steer vehicle has a damping ratio \(\zeta = 1\), an understeering vehicle, \(\zeta < 1\) and an oversteering vehicle, \(\zeta > 1\). If the damping ratio can be found from the following equation: \(\zeta = [m(a^2C_F + b^2C_R) + mk^2(C_F + C_R)] / 2\omega_n m^2k^2V\), will adding more mass (m) to a car with a \(\zeta\) of 1 drive it toward O Oversteer Understeer Neutral steer None of the above

Transcript

00:01 Hello students in this question given as the shock absorbs in the each wheel of the car is 2 is equals to 1 upon under root 1 minus omega upon p square whole square plus 4 into 0 .1221 square and omega upon p whole square.

00:30 In this question we have to calculate the damping factor that is omega by p.

00:36 So, let us consider the omega by p is equals to x.

00:41 So, we will substitute the x in the above equation.

00:45 So, 2 will be equal to the 1 upon under root 1 minus x square whole square plus 4 after multiplication this value or let 0 .1221 square into x square.

01:05 Now, we can write 4 into after squaring on the both sides.

01:11 So, 1 minus x square whole square plus 0 .0596 x square minus 1 is equals to 0.

01:23 Now, let f of x is a function that is equals to the 1 minus x square whole square 0 .0596 square minus 1.

01:43 Using the secant method will use the will put the value of x is equals to 2.

01:49 So, in this x is equals to 2 is equals to after calculation this is equals to 3 and when we put the value of 1.

01:57 So, this is this will get minus 0 .7614.

02:03 Since we can see that the function of that is a 2 and a function of 1 multiplication is a negative.

02:13 So, this is less than 0.

02:14 Now, we can see that so root of the above equation lies between between 1 and 2.

02:27 So, the root is a is equals to 1 and b is equals to.

02:35 Now, the using the second method this is the function is equals to a into f of b minus b into f of a upon f of b minus f of a.

02:56 Now, we will substitute the values that is a is equals to 1 and f of b is equals to 3...

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