Question

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?

Answer #1

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?

1)x = (9.2 m) cos[(5πrad/s)t + π/4
rad]
gives the simple harmonic motion of a body. At t = 2.1 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?
2) An oscillating block-spring system takes 0.746 s to begin
repeating its motion. Find (a) the period,
(b) the frequency in hertz, and
(c) the angular frequency in radians per
second.

please double check the answers of Question 1 C and Question 2 D
i got the rest of the answers.
1.An object undergoing simple harmonic motion takes 0.32 s to
travel from one point of zero velocity to the next such point. The
distance between those points is 26 cm. Calculate
(a) the period, (b) the
frequency, and (c) the amplitude of the
motion.
2.x = (9.2 m) cos[(5πrad/s)t + π/4
rad]
gives the simple harmonic motion of a body....

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. °

3. A particle moves in simple harmonic motion according
to x = 3 cos(10t)., where x is in meters and t is in seconds, its
maximum acceleration is?
A. 30sin(10t) m/s/s
B. 30cos(10t) m/s/s
C. 50 m/s/s
D. 150 m/s/s
E. 300 m/s/s

The position of an object in simple harmonic motion as a
function of time is given by ? = 3.8??? (5??/4 + ?/6) where t is in
seconds and x in meters. In t = 2.0s calculate (a) the period, (b)
the oscillation frequency (c) velocity and (d) acceleration.

A harmonic oscillator is described by the function
x(t) = (0.350 m)
cos(0.490t). Find the oscillator's maximum
velocity and maximum acceleration. Find the oscillator's position,
velocity, and acceleration when t = 1.25 s.
(a) oscillator's maximum velocity (in m/s)
(b) oscillator's maximum acceleration (m/s2)
(c) oscillator's position (in m) when t = 1.25 s
(d) oscillator's velocity (in m/s) when t = 1.25 s
(e) oscillator's acceleration (in m/s2) when
t = 1.25 s

A) A mass on a spring vibrates in simple harmonic motion at a
frequency of 4.0 Hz and an amplitude of 8.0 cm. If a timer is
started when its displacement from equilibrium is a maximum (hence
x = 8 cm when t = 0), what is the displacement of the mass when t =
3.7 s?
B) A mass of 4.0 kg, resting on a horizontal, frictionless
surface, is attached on the right to a horizontal spring with
spring...

In an engine, a piston oscillates with simple harmonic motion so
that its position varies according to the expression, x = 7.00
cos(3t + π/7) where x is in centimeters and t is in seconds.
(a) At t = 0, find the position of the piston. ____ cm
(b) At t = 0, find velocity of the piston. ____ cm/s
(c) At t = 0, find acceleration of the piston. ____ cm/s^2
(d) Find the period and amplitude of the...

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