Problem 14.39 . When you drive your car over a bump, the springs connecting the wheels to the car compress. Your shock absorbers then damp the subsequent oscillation, keeping your car from bouncing up and down on the springs. (Figure 1) shows real data for a car driven over a bump. We can model this as a damped oscillation, although this model is far from perfect

Ay (cm) 4 0 r (s) 0.5 1.0 -4

Part A Estimate the frequency in this model. Express your answer to two significant figures and include the appropriate units. f-Value Units Submit RequestAnswer

Part B Estimate the time constant in this model. Express your answer to two significant figures and include the appropriate units. Value Units T= Submit Request Answer

## Answer

Concept: Relation between frequency and the time period is used to solve this problem from graph, T = 0.5 sec, f = 1/T = 1/0.5 = 2 Hz Damping is 1/T = 4(1) 2 f = 2.77 Hz T = 1/2.77 Hz = 0.36 sec