Question

uppose that a car weighing 2000 pounds is supported by four shock absorbers Each shock absorber has a spring constant of 6250 lbs/foot, so the effective spring constant for the system of 4 shock absorbers is 25000 lbs/foot. Assume no damping and determine the period of oscillation of the vertical motion of the car. Hint: g= 32 ft/sec2 .

Answer 1

Explanation:

According to the given data, formula for the period of oscillation is as follows.

            T = $2 \pi \sqrt{\frac{m}{k}}$

or,         T = $2 \pi \sqrt{\frac{mg}{kg}}$

                = $2 \times 3.14 \times \sqrt{\frac{2000 pounds}{25000 lbs/foot \times 32 ft/s^{2}}}$

                 = 0.314 s

Thus, we can conclude that period of oscillation of the vertical motion of the car is 0.314 s.