Question

1. Calculate the spring constant ,k, for a spring, if the
spring stretches by 0.2 m as a result of an applied force of
200N.

2. A 20 kg mass is attached to a spring with spring constant,
K=100 N/m. The spring/mass system is stretched by 5cm, and then
released from rest and allowed to oscillate back and forth A.) What
is the amplitude of vibration in this system? B.) Calculate the
acceleration of the mass at X=0.

3. In Problem #2 above, A) calculate the maximum velocity of
the mass as it vibrates back and forth. B) WHAT IS THE POSITION of
the mass when it achieves maximum velocity?

4. For the system in the previous problem, calculate the
velocity and acceleration of the mass at x = -2.5 cm.

Answer #1

Problem 2: (a) In this exercise a massless spring with a spring
constant k = 6 N/m is stretched from its equilibrium position with
a mass m attached on the end. The distance the spring is stretched
is x = 0.3 m. What is the force exerted by the spring on the mass?
(5 points)
(b) If we were to stretch the spring-mass system as in part (a)
and hold it there, there will be some initial potential energy
associated...

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 block-spring system consists of a spring with constant
k = 445 N/m attached to a 2.25 kg block on a frictionless
surface. The block is pulled 4.10 cm from equilibrium and released
from rest. For the resulting oscillation, find the amplitude,
angular frequency, frequency, and period. What is the maximum value
of the block's velocity and acceleration?

Consider a mass-spring system. The spring has constant k=30N/m
and the mass m=3kg. The mass oscillates with amplitude of 10cm.
What is the frequency of oscillation?
What is the displacement at time t=0?
When is the first time for the mass to be at maximum
displacement? (t=?)
What is the maximum acceleration felt by the mass? Where in the
motion does this occur?
What is the minimum acceleration felt by the mass? Where in the
motion does this occur?
What...

A frictionless spring system has k value of 1000N/m, amplitude
of 15cm, mass of 100g. Calculate the following:
a) the speed of the mass when x is 10cm
b) the acceleration of the mass when x is 5cm
c) the force of the mass when x is 15cm
d) the kinetic energy and potential energy when x is 8cm e) the
frequency and period.

1) How does the amplitude of vibration affect the time period of
vibration for a spring-mass system?
a)The period decreases linearly as amplitude increases
b)Time period increases as the square root of the amplitude
c)No effect
d)Time period increases linearly with the amplitude
2)What will be the value of the spring constant, if a mass of
1.1 kg attached to a spring stretches it by 16 cm. Ignore the mass
of the spring and its original length.
3)What will be...

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...

A 0.5-kg mass is attached to a spring with spring constant 2.5
N/m. The spring experiences friction, which acts as a force
opposite and proportional to the velocity, with magnitude 2 N for
every m/s of velocity. The spring is stretched 1 meter and then
released.
(a) Find a formula for the position of the mass as a function of
time.
(b) How much time does it take the mass to complete one
oscillation (to pass the equilibrium point, bounce...

An object with mass 2.5 kg is attached to a spring with spring
stiffness constant k = 270 N/m and is executing simple harmonic
motion. When the object is 0.020 m from its equilibrium position,
it is moving with a speed of 0.55 m/s.
(a) Calculate the amplitude of the motion. ____m
(b) Calculate the maximum velocity attained by the object.
[Hint: Use conservation of energy.] ____m/s

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 2 minutes ago

asked 44 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour 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