Question

The motion of a particle connected to a spring is described by x = 0.4 cos...

The motion of a particle connected to a spring is described by x = 0.4 cos (pi t) (in meter).
a) What is its angular frequency and amplitude (maximum elongation) xmax?
b) What is its speed and acceleration at t = 0.167s?
c) At what time is the potential energy equal to the kinetic energy?

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

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 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...
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...
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]
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...
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 = (0.315 m) cos (1.60t), find the following....
If the object-spring system is described by x = (0.315 m) cos (1.60t), find the following. (a) the amplitude, the angular frequency, the frequency, and the period A=.315 m w=1.6 rad/s f=.25 HZ T=3.9s (b) the maximum magnitudes of the velocity and the acceleration vmax=.504 m/s amax=.8064 m/s^2 (c) the position, velocity, and acceleration when t = 0.250 s x= ? v=? a=?
A 0.400-kg object attached to a spring with a force constant of 8.00 N/m vibrates in...
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...
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 =
A 50.0-g object connected to a spring with a force constant of 100.0 N/m oscillates on...
A 50.0-g object connected to a spring with a force constant of 100.0 N/m oscillates on a horizontal frictionless surface with an amplitude of 8.00 cm. a) What is the period (in seconds) and frequency of its motion? b) Assuming that the object's equilibrium position (i.e. when the spring is unstretched) is designated as x = 0, and that at t = 0 the object is located at maximum amplitude, x(t) = A cos (ωt), describes the motion. What is...
The acceleration of a block attached to a spring is given by a=−(0.324m/s2)cos([2.23rad/s]t). What is the...
The acceleration of a block attached to a spring is given by a=−(0.324m/s2)cos([2.23rad/s]t). What is the frequency of the block's motion? 0.355 Hz. What is the maximum speed of the block? What is the amplitude of the block's motion?
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT