The suspension system of a 2100 kg automobile "sags" 8.5 cm when the chassis is placed on it. also, the oscillation amplitude decreases by 63% each cycle. estimate the values of (a) the spring constant k and (b) the damping constant b for the spring and shock absorber system of one wheel, assuming each wheel supports 525 kg.

Part a)

Part b)

Explanation:

Part a)

as the mass of the suspension system is given as

also we have

so now for force balance we have

Part b)

Now we know that amplitude decreases by 63% in each cycle

so after one cycle the amplitude will become 37% of initial amplitude

so it is given as

also we know

here t = time period of one oscillation

so it is

now damping constant is

because it says use -2,0,and 2 for x, we can plug those numbers into the equation. y/4=3/4(-2)+2   y/4= -1 1/2 +2 now to get x by itself, we can multiply each side by 4. y=-6+8 which equals y=2 when x=-2. now you can do the same thing with 0 and 2 as x. you get y=8 when x=0 and y=14 when x=2.

x   |   y

-2 |   2

0   |   8

2   |   14

wire in brush may conduct electricity from cell to drill and vice versa electrc shock possible