Question

An object of mass m = 0.25 kg has a horizontal spring attached to its left...

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. d) Calculate the total energy E. e) Calculate the amplitude A of the motion. (careful!) f) Calculate the phase angle φ. g) Calculate the maximum velocity vmax. (careful!) h) Calculate the maximum acceleration amax. i) Calculate the position, velocity, and acceleration at t = π 8 s.

Science   Physics   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
The position of a 0.30 kg object attached to a spring is described by x =...
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.
If the object-spring system is described by x = (0.340 m) cos (1.55t), find the following....
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
If the object-spring system is described by x = (0.310 m) cos (1.55t), find the following....
If the object-spring system is described by x = (0.310 m) cos (1.55t), find the following. (a) the amplitude, the angular frequency, the frequency, and the period A = m ω = The angular frequency is ω in Acosωt. 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...
The position of a 0.30 - kg object attached to a spring is described by x...
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
A 6.5-kg mass is attached to an ideal 750-N/m spring. If the system undergoes simple harmonic...
A 6.5-kg mass is attached to an ideal 750-N/m spring. If the system undergoes simple harmonic motion, what are the frequency, angular frequency, and period of the motion? The frequency, f = The angular frequency, ω = The period, T =   If the total mechanical energy of the system is 72 J, what are the amplitude, maximum speed and maximum acceleration of the motion? The amplitude, A =   The maximum speed, vmax = The maximum acceleration, amax =
The position of a 0.30 - kg object attached to a spring is described by x...
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]
An object of mass of 2.7 kg is attached to a spring with a force constant...
An object of mass of 2.7 kg is attached to a spring with a force constant of k = 280 N/m. At t = 0, the object is observed to be 2.0 cm from its equilibrium position with a speed of 55 cm/s in the -x direction. The object undergoes simple harmonic motion “back and forth motion” without any loss of energy. (a) Sketch a diagram labeling all forces on the object and calculate the maximum displacement from equilibrium of...
An object with mass 2.5 kg is attached to a spring with spring stiffness constant k...
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
The position of a 0.30 - kg object attached to a spring is described by x...
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.
A 3.30-kg object is attached to a spring and placed on frictionless, horizontal surface. A horizontal...
A 3.30-kg object is attached to a spring and placed on frictionless, horizontal surface. A horizontal force of 21.0 N is required to hold the object at rest when it is pulled 0.200 m from its equilibrium position (the origin of the x axis). The object is now released from rest from this stretched position, and it subsequently undergoes simple harmonic oscillations. (a) Find the force constant of the spring. N/m (b) Find the frequency of the oscillations. Hz (c)...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT