Question

Suppose that a mass suspended on a string has the following
equation of motionx(t) = 48 cos(4t) +
30 sin(4t) |

(a) | What is the absolute value of the maximum displacement
x(t) and what is the period of motion? Separate
your answers with a comma. The order doesn't matter. |

(b) | What is the velocity at t = pi/2 ? |

Answer #1

A wave on a string has a displacement
according to the equation:
y(x,t) = 25.0 cm sin ((36.0/m)x –
(8.00/sec)t)
Determine the amplitude, frequency,
period, velocity, and wavelength of the wave. Find the maximum x.
Also determine the transverse velocity at t = 0.16 sec and x's
maximum.

7. A wave on a string has a
displacement according to the equation:
y(x,t) = 25.0 cm sin ((36.0/m)x –
(8.00/sec)t)
Determine the amplitude, frequency,
period, velocity, and wavelength of the wave. Also determine the
transverse velocity at t = 0.16 sec.

A wave on a string is described by the equation y(x,t)=3.0
cm*〖cos(〗〖2π*(x/2.4m+t/(0.2 s)))〗 . X is in meters and t is in
seconds.
Is the wave travelling to the right or to the left?
_________
What is the wave speed? _________
What is the wave frequency? __________
What is the wavelength? ___________
At t=0.50 seconds what is the displacement of the string at
x=0.20 meters. _________

A wave on a string is described by the equation
y(x, t) = 2*cos(2 π(x/4m- t /.1 s))
where x is in meters and t is in seconds.
a. Is the wave travelling to the right or to the left?
_________
b. What is the wave frequency? __________
c. What is the wavelength? ___________
d. What is the wave speed? _________
e. At t=0.50 seconds what is the displacement of the string at
x=0.20 meters. _________

he equation of motion of a simple harmonic oscillator is given
by x(t) = (7.4 cm)cos(12πt) − (4.2 cm)sin(12πt), where t is in
seconds.Find the amplitude. m (b) Determine the period. s (c)
Determine the initial phase. °

The function x = (8.0 m) cos[(4πrad/s)t + π/5 rad] gives the
simple harmonic motion of a body. At t = 6.9 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?

The function x = (9.5 m) cos[(6πrad/s)t + π/4 rad] gives the
simple harmonic motion of a body. At t = 2.3 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?

The function x = (6.4 m) cos[(4πrad/s)t + π/3 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?

IA weight of mass 6.89 kg is suspended by a string of length
0.849 m, and set into motion along circular horizontal path (see
figure). The angle \theta? of the string with respect to
vertical is 5.61^o?o??. What is the period of the circular
motion? I can not uplaod the image!
Also I got 11 for this problem but apparently that is wrong: A
mass, m?1??=24.9 kg mass is placed on a frictionless ramp
which is inclined 43.5^\circ???? above horizontal....

(a)
What is the equation describing the motion of a mass on the end
of a spring which is stretched 8.8 cm from equilibrium and then
released from rest, and whose period is 0.66 s? Assume that the
displacement at the start of the motion is positive.
Express your answer in terms of t using two significant
figures.
(b)
What will be its displacement after 1.9 s ?
Express your answer to two significant figures and include the
appropriate units.

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