#### Transcript of LPH 105 W15 11.1-6

A 0.75 kg mass at the end of a spring vibrates 4.0 times per second with an amplitude of 0.15 m. Determine the (a) Velocity when it passes the equilibrium point, (b) the velocity when it is 0.075 m from the equilibrium, (c) the total energy of the system (d) the equation describing the motion of the mass, assuming that at t=0 x was a maximum.

**10 At what displacement from equilibrium is the speed of a SHO half the max. value**

**17 At what displacement form equilibrium is the energy of a SHO half KE and half PE?**

A .15 kg mass at the end of a spring oscillates 2 times in a second, at the equilibrium it has a velocity of 3.75 m/s.

What is an equation that describes is velocity? (assume it is going the fastest at t=0)

What is the total energy of the system?

What is the spring constant?

What is the amplitude of oscillation?

An elastic cord vibrates with a frequency of 3.0 Hz when a mass of 0.60 kg hangs from it. What is its frequency if only 0.38 kg hangs from it?

A mass m at the end of a spring vibrates with a frequency of 0.88 Hz. When an additional 680 g is added to m, the frequency of 0.60 Hz. what is the value of m?

A 0.60 kg mass vibrates according to the equation

x=0.45 cos(6.5 t) where x is in meters and t is in seconds. Determine (a) the amplitude, (b) the frequency, (c) the total energy , and (d) the kinetic and potential energies when x = 0.30m

A 300 g mass vibrates according to thte equation

x=0.38 sin (4.5 t), where x is in meters and t is in seconds.

Draw a picture of this motion

the location when the kinetic energy is .25 J

the total energy

max velocity

find the period

Frequency and period

Energy

Equation of motion

Velocity and location

3.77 m/s

3.26 m/s

5.33 J

.15cos(25t)

.298 m

23.7 N/m

1.05 J

v=3.75 cos(12.6 t)

3.77 Hz

591 g

"Different types of damping and their applications???"

"First off, I only got two attempts on the prequiz, and I missed the question about the sinusoidal stuff. I know it looks like a sine wave, however I guess the other ones sounded better and it looked like they made sense. Could you maybe expound on those points? "

"I know that the graph of sine is similar to the graph of cosine in a few ways. Why must a simple harmonic motion wave exclusively follow that of a sinusoidal pattern and not one resembling the graph of cosine (or other trig functions for that matter)?"

"If a harmonic object has a displacement that is described by: X = (.25m) sin (10 t), calculate the maximum velocity of this object. (answer should look like '3.2 m/s')"

A = .45 m

f = 1.03 Hz

E = 2.57 J

KE = 1.43

PE =1.14

T = 1.40 s

v = 1.71 m/s

E = .439 J

x = .249 m

"I still don't really understand the spring constant"

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