Question

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.

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).
(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.

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 ).
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

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....

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]

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...

An object with mass 2.8 kg is executing simple harmonic motion,
attached to a spring with spring constant 320 N/m . When the object
is 0.021 m from its equilibrium position, it is moving with a speed
of 0.65 m/s . Calculate the amplitude of the motion. Calculate the
maximum speed attained by the object.

An object with mass 3.8 kg is executing simple harmonic motion,
attached to a spring with spring constant 260 N/mN/m . When the
object is 0.017 mm from its equilibrium position, it is moving with
a speed of 0.65 m/s .
Calculate the amplitude of the motion.
Calculate the maximum speed attained by the object.

An object with mass 2.3 kg is executing simple harmonic motion,
attached to a spring with spring constant 330 N/m . When the object
is 0.020 m from its equilibrium position, it is moving with a speed
of 0.50 m/s . Part A Calculate the amplitude of the motion. Part B
Calculate the maximum speed attained by the object.

An object with mass 3.6 kg is executing simple harmonic motion,
attached to a spring with spring constant 320 N/m . When the object
is 0.025 m from its equilibrium position, it is moving with a speed
of 0.40 m/s.
Part A: Calculate the amplitude of the motion.
Part B: Calculate the maximum speed attained by the object.

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