Question

The position of a 0.30 - kg object attached to a spring is described by

x = (0.25 m) cos ( 0.4 π t ). Find:

a) The amplitude of the motion;[2pt]

b) Frequency and Period of the motion;[4pt]

c) Position of the object at t = .30 sec.[3pt]

d) Speed of the object at t = .30 sec.[3pt]

e) Acceleration of the object at t = .30 sec.[3pt]

Answer #1

The position of a 0.30 - kg object attached to a spring is
described by
x = (0.25 m) cos ( 0.4 π t ).
Find:
a) The amplitude of the motion;
b) Frequency and Period of the motion;
c) Position of the object at t = .30 sec.
d) Speed of the object at t = .30 sec.
e) Acceleration of the object at t = .30 sec

The position of a 0.30 - kg object attached to a spring is
described by x = (0.25 m) cos ( 0.4 pie t). Find: a) The amplitude
of the motion; b ) Frequency and Period of the motion; c) Position
of the object at t=.30 sec ; d) Speed of the object at t = .30sec.;
E) Acceleration of the object at t = .30 sec.

The position of a 0.30 kg object attached to a spring is
described by x = (0.25 m) cos(0.4 π t).
(a) What is the amplitude of the motion?
(b) Calculate the spring constant.
(c) Calculate the position of the object at t = 0.30 s.
(d) Calculate the velocity of the object at t = 0.30 s.

An object of mass m = 0.25 kg has a horizontal spring attached
to its left side, and slides along a frictionless surface. The
spring constant is κ = 0.4 N m . At t = 0 s, the object is
displaced 0.1m to the right of its equilibrium position. Its
initial velocity is 0.4 m s , toward the right.
a) Calculate the period T of the motion. b) Calculate the
angular frequency ω. c) Calculate the frequency ν....

An object of mass (m = 0.8 kg) is attached to a horizontal
spring. Its position varies with time as x = (0.33
m)cos(0.2πt).
(a) Find the amplitude of its motion (in m).
(b) Find the spring constant (in N/m).
(c)Find the position (in m) at t = 0.2 s.
(d)Find the speed (in m/s) of the object at t = 0.2 s.

A 0.400-kg object
attached to a spring with a force constant of 8.00 N/m vibrates in
simple harmonic motion with an amplitude of 12.2
cm.
the maximum value of its speed is
54.6
WHAT IS THE MAXIMUM VALUE OF IT'S
ACCELERATION?
QUESTION 2
A 45.0-g object
connected to a spring with a force constant of 40.0
N/m oscillates with an amplitude of 7.00
cm on a frictionless, horizontal
surface.
the total energy of
the system is 98
the speed of...

Motion of an oscillating mass [0.75 kg] attached to the spring
is described by the equation below:
(??) = 7.4 (????) ?????? [(4.16 ?????? ?? ) ?? ? 2.42]
Find:
a. Amplitude
b. Frequency
c. Time Period
d. Spring constant
e. Velocity at the mean position
f. Potential energy
g. at the extreme position.

A mass of 0.520 kg is attached to a spring and set into
oscillation on a horizontal frictionless surface. The simple
harmonic motion of the mass is described by x(t) = (0.780
m)cos[(18.0 rad/s)t]. Determine the following. (a) amplitude of
oscillation for the oscillating mass (b) force constant for the
spring N/m (c) position of the mass after it has been oscillating
for one half a period (d) position of the mass one-third of a
period after it has been...

If the object-spring system is described by x = (0.340
m) cos (1.55t), find the following.
(a) the amplitude, the angular frequency, the frequency, and the
period
A =
m
ω =
rad/s
f =
Hz
T =
s
(b) the maximum magnitudes of the velocity and the
acceleration
vmax =
m/s
amax =
m/s2
(c) the position, velocity, and acceleration when t =
0.250 s
x =
m
v =
m/s
a =
m/s2

A 4.70-kg object on a frictionless horizontal surface is
attached to one end of a horizontal spring that has a force
constant k = 570 N/m. The spring is stretched 9.30 cm from
equilibrium and released.
(a) What is the frequency of the motion?
_____Hz
(b) What is the period of the motion?
______s
(c) What is the amplitude of the motion?
______cm
(d) What is the maximum speed of the motion?
______m/s
(e) What is the maximum acceleration of...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 1 minute ago

asked 37 minutes ago

asked 42 minutes ago

asked 52 minutes ago

asked 1 hour ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago

asked 3 hours ago

asked 3 hours ago

asked 3 hours ago