Question

It takes a force of 12 N to stretch a spring 0.16 m. A 2.2-kg mass is attached to the spring.

a:What is the period of oscillation?

b:What is the frequency of oscillation?

Answer #1

A mass of 0.5 kg is attached to a horizontal spring with k=12
N/m.. At t=0, the spring has a stretch of 3 cm and the mass moves
at 0.5 m/s. Assume no friction.
(a) What is the amplitude (max stretch) of the oscillation? (b)
What is the maximum speed of the mass? (c) What is the frequency of
the oscillation, in rad/s?

A 3.70 kg mass is attached to a spring with a spring constant of
4.06 N/m
. It is initially
lifted away from its equilibrium position by 0.200 m in the
positive direction and
released from rest.
A)
What is the angular frequency for this oscillator?
B)
What is the time period for one oscillation for this
oscillator?
C)
Draw out the motion of the oscillator on the graph at the top of
the page. (
D)
What is the...

When a mass of m = 254 g is attached to a spring and the
mass-spring system is set into oscillatory motion, the period of
the motion is T = 0.427 s. Determine the following. (a) frequency
of the motion in hertz Hz (b) force constant of the spring N/m (c)
amplitude of the oscillation, if the total energy of the
oscillating system is 0.288 J m

A block of mass m = 0.53 kg attached to a spring with force
constant 119 N/m is free to move on a frictionless, horizontal
surface as in the figure below. The block is released from rest
after the spring is stretched a distance A = 0.13 m. (Indicate the
direction with the sign of your answer. Assume that the positive
direction is to the right.)
The left end of a horizontal spring is attached to a vertical
wall, and...

A mass of 0.380 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) = (0.800 m)cos[(10.0
rad/s)t].
Determine the following.
(a) amplitude of oscillation for the oscillating mass
____m
(b) force constant for the spring
____ N/m
(c) position of the mass after it has been oscillating for one half
a period
______ m
(d) position of the mass one-sixth of a period...

A 0.774 kg mass is on the end of a frictionless, horizontal
spring. The spring is stretched 0.0566 m and released. It completes
12 oscillations in 4.62 s. Calculate: a) the oscillation frequency,
b) the oscillation period, c) the spring force constant, d) the
total mechanical energy of the oscillating spring, e) the maximum
speed of the oscillating spring.

1. A mass 0.15 kg is attached to a horizontal spring with spring
constant k = 100 N/m moves on a horizontal surface. At the initial
moment in time, the mass is moving to the right at rate of 3.5 m/s
and displacement of 0.2 m to the right of equilibrium.
a) What is the angular frequency, period of oscillation, and
phase constant?
b) What is the amplitude of oscillation (Hint: Use energy.) and
maximum speed of the spring-mass system?

8. A 0.40-kg mass is attached to a spring with a force constant
of k = 387 N/m, and the mass–spring system is set into
oscillation with an amplitude of A = 3.7 cm. Determine the
following.
(a) mechanical energy of the system
J
(b) maximum speed of the oscillating mass
m/s
(c) magnitude of the maximum acceleration of the oscillating
mass
m/s2

A student stretches a spring, attaches a 1.70 kg mass to it, and
releases the mass from rest on a frictionless surface. The
resulting oscillation has a period of 0.530 s and an amplitude of
26.0 cm. Determine the oscillation frequency, the spring constant,
and the speed of the mass when it is halfway to the equilibrium
position.
(a) the oscillation frequency (in Hz)
Hz
(b) the spring constant (in N/m)
N/m
(c) the speed of the mass (in m/s)...

13.5 A spring with a spring constant of 450 N/m is stretched 20
cm from the equilibrium position. a) What is the magnitude of the
spring force at x = 20 cm? b) If a 5 kg mass is attached to the
spring, what will the maximum acceleration be if the spring is
released from the x = 20 cm stretched position? c) Will the
acceleration be the same as the spring passes the x = 10 cm
position? If...

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