In the figure, a stick of length L = 1.3 m oscillates as a physical pendulum. (a
ID: 1512147 • Letter: I
Question
In the figure, a stick of length L = 1.3 m oscillates as a physical pendulum. (a) What value of distance x between the stick's center of mass and its pivot point O gives the least period? (b) What is that least period? The suspension system of a 2100 kg automobile "sags" 9.6 cm when the chassis is placed on it. Also, the oscillation amplitude decreases by 36% 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.Explanation / Answer
(a)
the value of x is
x = L / sqrt(12)
= 1.3 / 3.46
= 0.375 m
(b)
the time period will be
T = 2 pi sqrt{[(L2/12) + (x2)] / g x}
= 1.733 sec