Simple harmonic motion questions: Part 1. Determine the position in the oscillation where an object in...

Simple harmonic motion questions:

Part 1. Determine the position in the oscillation where an object in simple harmonic motion: (Be very specific, and give some reasoning to your answer.)

has the greatest speed
has the greatest acceleration
experiences the greatest restoring force
experiences zero restoring force

Part 2. Describe simple harmonic motion, including its cause and appearance. (Make sure to use your own words, and be very specific. And a few examples would be helpful.)

Expert Solution

Solution in the uploaded images

genius_generous answered 2 years ago

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...

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

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.

A 323 g object is attached to a spring and executes simple harmonic motion with a...

A 323 g object is attached to a spring and executes simple harmonic motion with a period of 0.210 s. If the total energy of the system is 6.70 J. (a) Find the maximum speed of the object. m/s (b) Find the force constant of the spring. N/m (c) Find the amplitude of the motion. mA 323 g object is attached to a spring and executes simple harmonic motion with a period of 0.210 s. If the total energy of...

Four mass–spring systems oscillate in simple harmonic motion. Rank the periods of oscillation for the mass–spring...

Four mass–spring systems oscillate in simple harmonic motion. Rank the periods of oscillation for the mass–spring systems from largest to smallest. m = 2 kg , k = 2 N/m m = 2 kg , k = 4 N/m m = 4 kg , k = 2 N/m m = 1 kg , k = 4 N/m

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.

A 15-pound weight that is attached to a spring exhibits simple harmonic motion. a) Determine the...

A 15-pound weight that is attached to a spring exhibits simple harmonic motion. a) Determine the equation of motion if the spring constant is 28lb/ft and if the weight is released 2 feet below the equilibrium, with a downward velocity of 64ft/sec. b) Find the maximum distance away in feet from the equilibrum.

Write a discussion and conclusion for simple harmonic motion.

A student is studying simple harmonic motion of a spring. She conducts an experiment where she...

A student is studying simple harmonic motion of a spring. She conducts an experiment where she measures the amplitude and period of an undamped system to be 24 ± 2 mm and 0.40 ± 0.020 seconds, respectively. Using the equation for displacement as a function of time y(t) = Acos(ωt), what is the uncertainty of her displacement calculation in mm for t = 0.050 ± 0.0010 seconds? Please explain thouroughly.

Question