The figure below shows the x(t) curves for three experiments involving a particular spring-box system oscillating in SHM. (Use only ">" or "=" symbols. Do not include any parentheses around the numbers or symbols.) 2 3 (a) Rank the curves according to the system's angular frequency, greatest first. 1=2=3 (b) Rank the curves according to the spring's potential energy at t = 0, greatest first. 3>2=1 (c) Rank the curves according to the box's kinetic energy att = 0, greatest first. 1>2>3 (d) Rank the curves according to the box's speed at t = 0, greatest first. 1>2>3 (e) Rank the curves according to the box's maximum kinetic energy, greatest first.

A spring is attached to the ceiling and pulled 12 cm down from equilibrium and released. The amplitude decreases by 10% each second. The spring oscillates 18 times each second. Find an equation for the distance, D the end of the spring is below equilibrium in terms of seconds, t.

A mass 5-kilogram attached to end of a spring that is stretched 20 cm by a force of 9N. It is set in motion with initial position x(0)=0 and velocity v(0)= -10 m/s. Find the amplitude and the frequency of the resulting motion. Enter exact answers and use pi for "Amplitude = "Frequency = m" HZ"

A mass m on a spring with spring constant k oscillates with Simple Harmonic Motion. Assume m and k are both known in base SI units. The exact position of the harmonic oscillator is described by this function. All quantities are expressed in base Sl units: x(t) = cos(3rt + T/4) This is a multi-select question, you must select 2 correct answers to receive full credit. Question #1: VWhat is the period of the oscillation? Question #2: What is the total distance traveled by the oscillator during one full period? (Hint: this is not asking for the displacement) The period of the oscillation is 3n [s] | The period of the oscillation is 3 [s] | The period of the oscillation is 4 T [s] The period of the oscillation is 2/3 [s] The period of the oscillation is 3/4 T² [s] The total distance traveled during one full period is 0 [m] The total distance traveled during one full period is 1 [m] | The total distance traveled during one full period is 2 [m] The total distance traveled during one full…

A horizontal spring attached to a wall has a force constant of 720 N/m. A block of mass 1.90 kg is attached to the spring and oscillates freely on a horizontal, frictionless surface as in the figure below. The initial goal of this problem is to find the velocity at the equilibrium point after the block is released.   (a) What objects constitute the system, and through what forces do they interact?   (b) What are the two points of interest?   (c) Find the energy stored in the spring when the mass is stretched 6.40 cm from equilibrium and again when the mass passes through equilibrium after being released from rest. x = 6.40 _____ J x = 0  ______J   (e) Substitute to obtain a numerical value.   (f) What is the speed at the halfway point?

For a simple harmonic oscillator with x=Asinωtx=Asin⁡ωt write down an expression for the velocity. Please use "*" for products (e.g. B*A), "/" for ratios (e.g. B/A) and the usual "+" and "-" signs as appropriate (without the quotes). For trigonometric functions use the usual sin and cos, while for Greek letters such as ωω, use omega.

A block of mass m = 1 kg is attached a spring of force constant k = 500 N/m as shown in the figure below.The block is pulled to a position x = 10 cm to the right of equilibrium and released from rest. The horizontalsurface is frictionless.(a) What’s the period of block’s oscillation? (b) Find the speed of the block as it passes through the equilibrium point x = 0. (c) Please represent block’s motion with the displacement vs. time function x(t) and draw the motiongraph x(t) for at least one periodic cycle. Note, please mark the amplitude and period in the motiongraph. Assume the clock starts from when the block is just released. (d) Please find out the block’s velocity and acceleration at t = 0.14s.

A simple harmonic oscillator consists of a 1.20 kg block attached to a spring. The block is ocillating back and forth along a straight line on a frictionless horizontal surface. A plot of the position of the block (in cm) as a function of time (in seconds) is shown below. What are (a) the spring constant of the spring and (b) the maximum speed and maximum acceleration of the block? (c) What is the velocity of the block at t = 1.50 s? 4. 3- 2- -2- -3- -4- -5+ 0.2 0.4 0.6 0.8 Position (cm)

A mass of 3kg stretches a spring 40cm. Suppose the mass is displaced an additional 12em in the positive (downward) direction and then ruleased. Suppose that the damping constant is 2N/m and assume g9.8 m/s is the gravitational accelaration. Set up a differential equation that describes this system. Let a to denote the displacement, in metern, of the mass from its equilbrium position, and give your answer in terms of z, , a". 3"+ 2 + 245r=0 b) Enter the intial conditions (0) 12 m. (0) o m/s is this wyotem under damped, over damped, or critically damped? under damped