An oscillator is describe by the expression x(t) = .25 m cos[(1.3 rad/s)t - 1.8 rad]....

An oscillator is describe by the expression x(t) = .25 m cos[(1.3 rad/s)t - 1.8 rad].

A) what is its period of oscillation?

B) what is its velocity at t = 1.9 seconds?

Expert Solution

where x^ in part(b) is just unit vector representing the direction of velocity at the instant...

If you still have any confusion regarding the solution or any step ... then please let me know in the comments section...

Thank you...

genius_generous answered 2 years ago

1a. The function x = (5.1 m) cos[(4πrad/s)t + π/4 rad] gives the simple harmonic motion...

1a. The function x = (5.1 m) cos[(4πrad/s)t + π/4 rad] gives the simple harmonic motion of a body. At t = 3.2 s, what are the (a) displacement, (b) velocity, (c) acceleration, and (d) phase of the motion? Also, what are the (e) frequency and (f) period of the motion? 1b. A block of mass M = 5.10 kg, at rest on a horizontal frictionless table, is attached to a rigid support by a spring of constant k =...

Initial Value Problem. Use Laplace transform. m''(t) + 6m'(t) + 25m(t) = cos(t) where m(0) =...

Initial Value Problem. Use Laplace transform. m''(t) + 6*m'(t) + 25*m(t) = cos(t) where m(0) = 1 and m'(0) = 1

25. If the following waves are superposed y1 = A Cos[k x – w t] and...

25. If the following waves are superposed y1 = A Cos[k x – w t] and y2 = A Cos[k x + w t] where A = 0.2 cm, f = 10 Hz and c = 10 m/s. (a) Sketch the waveform at time t = 0 and t = 1/40 s. (b) What is the distance between the nodes. (c) Determine the kinetic and potential energy contained within the string section between the a node and an antinode. (d)...

Test bank 1)- What is x[n]? x(t) = 5 cos (25 π t + π /4)...

Test bank 1)- What is x[n]? x(t) = 5 cos (25 π t + π /4) with Fs = 10 samples/sec 2)- How are Ts and fs related? 3)- What is the definition of the z-transform? 4)- What the poles and zeros of this function?

A wave on a string is described by y(x,t)=( 4.0 cm )×cos[2π(x/( 2.4 m )+t/( 0.30...

A wave on a string is described by y(x,t)=( 4.0 cm )×cos[2π(x/( 2.4 m )+t/( 0.30 s ))] , where x is in m and t is in s. Part B What is the wave speed? Express your answer in meters per second. Part C What is the wave frequency? Express your answer in hertz. Part D What is the wave length? Express your answer in meters. Part E At t = 0.75 s , what is the displacement of...

At t= 0 the undamped oscillator is passing through the equilibrium point (x= 0) with a velocity of 3 m/s. What is the amplitude of the undamped oscillation?

A mass m is attached to a spring with spring constant k and is allowed to oscillate in a resistive medium where the resistance is proportional to the velocity of the mass and opposes the motion, i.e. F =-bv given m=0.01 kg k=1.44N/m a) At t= 0 the undamped oscillator is passing through the equilibrium point (x= 0) with a velocity of 3 m/s. What is the amplitude of the undamped oscillation? b) At what frequency should we drive the...

1. If y(x,t) = (8.4 mm) sin[kx + (770 rad/s)t + φ] describes a wave traveling...

1. If y(x,t) = (8.4 mm) sin[kx + (770 rad/s)t + φ] describes a wave traveling along a string, how much time does any given point on the string take to move between displacements y = +1.2 mm and y = -1.2 mm? 2.A sinusoidal wave travels along a string. The time for a particular point to move from maximum displacement to zero is 0.25 s. What are the (a) period and (b) frequency? (c) The wavelength is 2.0 m;...

Classical Mechanics problem: Derive the expression for the total energy E(t) of an underdamped oscillator as...

Classical Mechanics problem: Derive the expression for the total energy E(t) of an underdamped oscillator as a function of time.

V = X'(t) = -t^2 + 6 m/s Implies X(t) = -(1/3)t^3 + 6t The initial...

V = X'(t) = -t^2 + 6 m/s Implies X(t) = -(1/3)*t^3 + 6*t The initial position is zero in this case. This function will initially increase (this means the object is moving forward), then the negative force will be too strong, so the object will start moving backwards. calculate the maxima and minima. Graph the function X(t). Describe the motion. Every detail.

Determine an expression for ∆x∆px for the second harmonic oscillator eigenstate. Does this obey the uncertainty...

Determine an expression for ∆x∆px for the second harmonic oscillator eigenstate. Does this obey the uncertainty principle?

Question