This preview shows page 1. Sign up to view the full content.
Unformatted text preview: scillator 12ghlustgated in Figures
15.21 and 15.22. Assume the mass is 375 g, the spring
constant to ﬁnd xN/m,thatd is a maximum,swhich(a) How
0.100 N /m. means dT/dx = 0. Noting that dT/dx = −dT/dh,
We wish is 100 such an T b
long does it takes for the amplitude to drop to half its
initial value? (b) What If? How long doesdT take dTr the
mechanical energy to drop to half its dx itial dh lue?
va (c) Show that, in general, the fraction2 l rate at which the
l + h2
12armoni oscillator is
amplitude decreases in a damped h
half the fractional rate at which the mechanical energy
12 l + h
71. A block π f mass m is c2 +
onnected to two springs o=f0
f orce con2
stants k 1 and k 2 as shown in Figures P15.71a and P15.71b.
In each case, the block moves=⇒ a frictionless t= 0 after it
is displaced from equilibrium and released. g how that in
the two cases the block exhibits simple h12h2 = l2 motion
View Full Document