The function
x = (8.5 m) cos[(5?rad/s)t + ?/3
rad]
gives the simple harmonic motion of a body. At t = 7.3 s,
what are the (a) displacement,
(b) velocity, (c) acceleration,
and (d) phase of the motion? Also, what are the
(e) frequency and (f) period of
the motion?
1a. The function x = (5.1 m) cos[(4πrad/s)t +
π/4 rad]
gives the simple harmonic motion of a body. At t = 3.2 s,
what are the (a) displacement,
(b) velocity, (c) acceleration,
and (d) phase of the motion? Also, what are the
(e) frequency and (f) period of
the motion?
1b. A block of mass M = 5.10 kg, at rest on a
horizontal frictionless table, is attached to a rigid support by a
spring of constant k =...
25. If the following waves are superposed y1 = A Cos[k x – w t]
and y2 = A Cos[k x + w t] where A = 0.2 cm, f = 10 Hz and c = 10
m/s. (a) Sketch the waveform at time t = 0 and t = 1/40 s. (b) What
is the distance between the nodes. (c) Determine the kinetic and
potential energy contained within the string section between the a
node and an antinode. (d)...
Test bank
1)- What is x[n]? x(t) = 5 cos (25 π t + π /4) with Fs = 10
samples/sec
2)- How are Ts and fs related?
3)- What is the definition of the z-transform?
4)- What the poles and zeros of this function?
A wave on a string is described by y(x,t)=( 4.0 cm )×cos[2π(x/(
2.4 m )+t/( 0.30 s ))] , where x is in m and t is in s. Part B What
is the wave speed? Express your answer in meters per second. Part C
What is the wave frequency? Express your answer in hertz. Part D
What is the wave length? Express your answer in meters. Part E At t
= 0.75 s , what is the displacement of...
A mass m is attached to a spring with spring constant k and is allowed to oscillate in a resistive medium where the resistance is proportional to the velocity of the mass and opposes the motion, i.e. F =-bv
given
m=0.01 kg
k=1.44N/m
a) At t= 0 the undamped oscillator is passing through the equilibrium point (x= 0) with a velocity of 3 m/s. What is the amplitude of the undamped oscillation?
b) At what frequency should we drive the...
1. If
y(x,t) = (8.4 mm) sin[kx + (770 rad/s)t
+ φ]
describes a wave traveling along a string, how much time does any
given point on the string take to move between displacements
y = +1.2 mm and y = -1.2 mm?
2.A sinusoidal wave travels along a string. The time for a
particular point to move from maximum displacement to zero is 0.25
s. What are the (a) period and
(b) frequency? (c) The wavelength
is 2.0 m;...