![1. A 1.6 kg object oscillates along the r-axis with an initial amplitude A 5.0 0 s, and a phase constant 0 rad. cos(wt+%) for the displacement an expression of the form r(t)-Ae- of the mass from equilibrium as a function of time of this object. /3 x [cm] 5+ t [s -5 FIG. 1: t (s)lr(t) (cm) 0.0 0.5 1.0 (b) Fill in the above table witli the valne of r() (in cu) for each of the following listed times.](http://img.homeworklib.com/questions/3c085800-71bf-11ea-bfd9-534877651caa.png?x-oss-process=image/resize,w_560)
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1. A 1.6 kg object oscillates along the r-axis with an initial amplitude A 5.0 0...
(17%) Problem 1: An object oscillates with an angular frequency o = 3 rad/s. At 1-0,...
(17%) Problem 1: An object oscillates with an angular frequency o = 3 rad/s. At 1-0, the object is at xo = 3.5 cm. It is moving with velocity vx0= 2 cm/s in the positive x-direction. The position of the object can be described through the equation x() = A cos(o1+). 33% Part (a) What is the the phase constant of the oscillation in radians? (Caution: If you are using the trig functions in the palette below, be careful to...
In an engine, a piston oscillates with simple harmonic motion so that its position varies according...
In an engine, a piston oscillates with simple harmonic motion so that its position varies according to the expression, x = 7.00 cos (4t + ) where x is in centimeters and t is in seconds. (a) At t = 0, find the position of the piston. 6.30 cm (b) At t = 0, find velocity of the piston. -9.11 How do you find the velocity v(t) of an object if you know the position as a function of time,...
An object of mass 0.1 kg is attached to a spring of negligible mass and is...
An object of mass 0.1 kg is attached to a spring of negligible
mass and is executing simple harmonic oscillation with an angular
frequency of 3 rad/s. If vx(0) = +0.5 m/s and x(0) = −0.1 m, what
is the phase φ? The general solution for such an oscillator is x(t)
= A cos(ω t + φ).
10.0 points mass 0.1 kg is attached to a mass and is executing sim- 003 An object of spring of negligible ple harmonic...
please answer as many questions as possible. I will “thumb up” the answers. Thanks! 1. You are on a boat, which is bobbing up and down. The boat's vertical displacement y is given by y 1.2...
please answer as many questions as possible. I will “thumb up” the
answers. Thanks!
1. You are on a boat, which is bobbing up and down. The boat's vertical displacement y is given by y 1.2 cos(t). Find the amplitude, angular frequency, phase constant, frequency, and period of the motion. (b) Where is the boat at t 1 s? (c) Find the velocity and acceleration as functions of time t. (d) Find the initial values of the position, velocity, and...
f. The amplitude of a cosine can be observed at the origin (t=0) when there is...
f. The amplitude of a cosine can be observed at the origin (t=0) when there is no phase shift. Find a simplified solution for the convolution integral below for t=0. +∞ output(t) = h(t)∗ s(t) = −∞ 3 rect(3x) cos(2π f0 (t − x)) dx Hint: Set t=0, sketch the situation to help set up the integral and remember the properties of odd and even functions to simply the calculation. g. The above result gives a general expression for the...
f. The amplitude of a cosine can be observed at the origin (t=0) when there is no phase shift. Find a simplified solutio...
f. The amplitude of a cosine can be observed at the origin (t=0) when there is no phase shift. Find a simplified solution for the convolution integral below for t=0. +∞ output(t) = h(t)∗ s(t) = −∞ 3 rect(3x) cos(2π f0 (t − x)) dx Hint: Set t=0, sketch the situation to help set up the integral and remember the properties of odd and even functions to simply the calculation. g. The above result gives a general expression for the...
Could you please answer all of the following questions? 1. A 3 kg object attached to...
Could you please answer all of the following questions? 1. A 3 kg object attached to a spring oscillates with an amplitude of 15 cm and a period of 2 s. At a time t = 0.5 s, the object's position is x = 9.1 cm. Determine a) the spring constant of the spring b) the total energy of the system (in joules) c) the maximum speed of the object d) the position of the object as a function of...
2. Following problem 1, the same spring-mass is oscillating, but the friction is involved. The spring-mass starts oscillating at the top so that its displacement function is x Ae-yt cos(wt)...
2. Following problem 1, the same spring-mass is oscillating, but the friction is involved. The spring-mass starts oscillating at the top so that its displacement function is x Ae-yt cos(wt)t is observed that after 5 oscillation, the amplitude of oscillations has dropped to three-quarter (three-fourth) of its initial value. (a) 2 pts] Estimate the value ofy. Also, how long does it take the amplitude to drop to one-quarter of initial value? 0 Co [2 pts] Estimate the value of damping...
This scenario is for questions 1-2. A simple harmonic oscillator at the position x = 0...
This scenario is for questions 1-2. A simple harmonic oscillator at the position x = 0 generates a wave on a string. The oscillator moves up and down at a frequency of 40.0 Hz and with an amplitude of 3.00 cm. At time t = 0, the oscillator is passing through the origin and moving down. The string has a linear mass density of 50.0 g/m and is stretched with a tension of 5.00 N. a) Find the angular frequency...
5.0. Protons with kinetic enerigy of 50 MeV are moving in the positive x direction and enter a magnetic B (0.5 T)k directed out of the plane of thepage ure extending from - 0 to -1 m as show...
5.0. Protons with kinetic enerigy of 50 MeV are moving in the positive x direction and enter a magnetic B (0.5 T)k directed out of the plane of thepage ure extending from - 0 to -1 m as shown in 29.36. (a) Calculate the y compo nent of the protons momentum as they leave the magnetic field at m. (b) Find the angle a between the initial veloc- ity vector of the proton beam and the velocity vec tor after...
(17%) Problem 1: An object oscillates with an angular frequency o = 3 rad/s. At 1-0, the object is at xo = 3.5 cm. It is moving with velocity vx0= 2 cm/s in the positive x-direction. The position of the object can be described through the equation x() = A cos(o1+). 33% Part (a) What is the the phase constant of the oscillation in radians? (Caution: If you are using the trig functions in the palette below, be careful to...
In an engine, a piston oscillates with simple harmonic motion so that its position varies according to the expression, x = 7.00 cos (4t + ) where x is in centimeters and t is in seconds. (a) At t = 0, find the position of the piston. 6.30 cm (b) At t = 0, find velocity of the piston. -9.11 How do you find the velocity v(t) of an object if you know the position as a function of time,...
An object of mass 0.1 kg is attached to a spring of negligible
mass and is executing simple harmonic oscillation with an angular
frequency of 3 rad/s. If vx(0) = +0.5 m/s and x(0) = −0.1 m, what
is the phase φ? The general solution for such an oscillator is x(t)
= A cos(ω t + φ).
10.0 points mass 0.1 kg is attached to a mass and is executing sim- 003 An object of spring of negligible ple harmonic...
please answer as many questions as possible. I will “thumb up” the
answers. Thanks!
1. You are on a boat, which is bobbing up and down. The boat's vertical displacement y is given by y 1.2 cos(t). Find the amplitude, angular frequency, phase constant, frequency, and period of the motion. (b) Where is the boat at t 1 s? (c) Find the velocity and acceleration as functions of time t. (d) Find the initial values of the position, velocity, and...
2. Following problem 1, the same spring-mass is oscillating, but the friction is involved. The spring-mass starts oscillating at the top so that its displacement function is x Ae-yt cos(wt)t is observed that after 5 oscillation, the amplitude of oscillations has dropped to three-quarter (three-fourth) of its initial value. (a) 2 pts] Estimate the value ofy. Also, how long does it take the amplitude to drop to one-quarter of initial value? 0 Co [2 pts] Estimate the value of damping...
This scenario is for questions 1-2. A simple harmonic oscillator at the position x = 0 generates a wave on a string. The oscillator moves up and down at a frequency of 40.0 Hz and with an amplitude of 3.00 cm. At time t = 0, the oscillator is passing through the origin and moving down. The string has a linear mass density of 50.0 g/m and is stretched with a tension of 5.00 N. a) Find the angular frequency...
5.0. Protons with kinetic enerigy of 50 MeV are moving in the positive x direction and enter a magnetic B (0.5 T)k directed out of the plane of thepage ure extending from - 0 to -1 m as shown in 29.36. (a) Calculate the y compo nent of the protons momentum as they leave the magnetic field at m. (b) Find the angle a between the initial veloc- ity vector of the proton beam and the velocity vec tor after...
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