We have a simple harmonic motion that is described by the equation: ? (?) = 0.82cos...

We have a simple harmonic motion that is described by the equation: ? (?) = 0.82cos (0.4? + 0.2) Determine the equation of v (t) and a (t).

Expert Solution

genius_generous answered 1 year ago

The displacement of an object in simple harmonic motion is described by the equation 0.40m*sin(8.9rad/s(t)) +...

The displacement of an object in simple harmonic motion is described by the equation 0.40m*sin(8.9rad/s(t)) + 0.61m*cos(8.9rad/s(t)). A) Determine the position and velocity when t = 0 seconds. B) Determine the maximum displacement of the system. C) Determine the maximum acceleration of the system. D) Determine the velocity of the system at t = 6 seconds.

An object attached to a spring vibrates with simple harmonic motion as described by the figure...

An object attached to a spring vibrates with simple harmonic motion as described by the figure below. (a) For this motion, find the amplitude. (b) For this motion, find the period. (c) For this motion, find the angular frequency. (d) For this motion, find the maximum speed (e) For this motion, find the maximum acceleration. (f) For this motion, find an equation for its position x in terms of a sine function.

And object is undergoing simple harmonic motion along the x-axis. Its position is described as a...

And object is undergoing simple harmonic motion along the x-axis. Its position is described as a function of time by x(t) = 2.7 cos(3.1t – 1.2), where x is in meters, the time, t, is in seconds, and the argument of the cosine is in radians. A) Find the amplitude of the simple harmonic motion, in meters. B) What is the value of the angular frequency, in radians per second? C) Determine the position of the object, in meters, at...

An object is undergoing simple harmonic motion along the x-axis. Its position is described as a...

An object is undergoing simple harmonic motion along the x-axis. Its position is described as a function of time by x(t) = 5.5 cos(6.9t – 1.1), where x is in meters, the time, t, is in seconds, and the argument of the cosine is in radians. Part (a) Find the amplitude of the simple harmonic motion, in meters. 14% Part (b) What is the frequency of the motion, in hertz? 14% Part (c) Determine the position of the object, in...

The equation x(t) = A sin(ωt + φ) describes the simple harmonic motion of a block...

The equation x(t) = A sin(ωt + φ) describes the simple harmonic motion of a block attached to a spring with spring constant k = 20 N/m. At t = 0 s, x = 0.5 m and the block is at rest. a (5 points) After 0.5 s, the potential energy stored in the spring first reaches zero and the velocity of the block is in the negative x direction. What is the period of the oscillation? b (5 points)...

Write a discussion and conclusion for simple harmonic motion.

particle is in simple harmonic motion along the x axis. The amplitude of the motion is...

particle is in simple harmonic motion along the x axis. The amplitude of the motion is xm. When it is at x = x1, its kinetic energy is K = 5 J and its potential energy (measured with U = 0 at x = 0) is U = 3 J. When it is at x = −1 2x1, the kinetic and potential energies are: A. K = 5 J and U = 3J B. K = 5 J and U...

1) How do we know that an object performs a simple harmonic motion? 2) Is the...

1) How do we know that an object performs a simple harmonic motion? 2) Is the movement of a pendulum a simple harmonic movement? Explain 3) Are there other types of pendulums that perform a MAS? Explain each

Are common pendulums capable of doing exact simple harmonic motion if we set them to oscillate...

Are common pendulums capable of doing exact simple harmonic motion if we set them to oscillate at any angle from the vertical?

In Chapter 10, we are working on simple harmonic motion. What similarities do you see in...

In Chapter 10, we are working on simple harmonic motion. What similarities do you see in the motion of the skater in the simulation to the simple harmonic motion described in Chapter 10? Use the pendulum as an example and discuss changes in velocity, potential energy, kinetic energy and damped motion.

Question