Describing Simple Harmonic Motion from Graphical Analysis 1. Consider the following graph of position vs. time for a horizontal spring-mass system undergoing simple har- monic motion. x (cm) 10.0 IA 5.0 10.0 -10.0 From the graph, obtain the following quantities: d. the amplitude A; e. the starting position xo f. the phase angle o; g. the expression for the position vs. time, x(); 15.0 t(s)
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- A mass of 0.790 kilograms is attached to a spring and lowered into a resting position, causing the spring to stretch 36 centimeters. The mass is then lifted back up to where the spring is just slack (unstretched) and released. a. What is the frequency of its oscillation? Include units in your answer. b. Using the release height as the reference point, where is the mass after 3.50 seconds? Include units in your answer. More information. Hints: Write an equation for the position of the mass as a function of time. For the phase constant, consider shifting the sine graph left or right a certain amount.A mass of 0.790 kilograms is attached to a spring and lowered into a resting position, causing the spring to stretch 36 centimeters. The mass is then lifted back up to where the spring is just slack (unstretched) and released. a. What is the frequency of its oscillation? Include units in your answer. b. Using the release height as the reference point, where is the mass after 3.50 seconds? Include units in your answer. More information. Hints: Write an equation for the position of the mass as a function of time. For the phase constant, consider shifting the sine graph left or right a certain amount. PLEASE ANSWER IN HANDWRITING THANKS!!!!can you pls help me solve this.. our topic is Oscillations. 1. A simple pendulum of length 3m is set into simple harmonic motion at an angle 20 degrees. Determine: a) Amplitude of the wave (A = Ltheta) b) period (T = 2pi radical length / g) c) Angular frequency (w = radical k/m = radical g/l) d) Maximum velocity and acceleration of the motion (vmax = w radical A^2 - x^2 ; amax = -w^2x) •Pls answer with complete solution (3 dec places) •Sketch an illustration/diagram with labels (this is a must; for a better understanding) Thank you I will give your answer a LIKE for helping me...
- This is a homework question. a)What is the frequency of the oscillation shown if t1=21.6s and A=50.0cm? b)What is the phase constant? Use the cosine function y=A cos(ωt + φ) to describe the simple harmonic motion. c)What is the phase at t1?A powerful experimental sewing machine is powered by a mass-spring system. This sewing machine is capable of stitching 1,500 stiches in one minute. a. How many stitches can this machine stitch is one second? i. This is a measure of the sewing machine's period or frequency? b. If the sewing machine has a spring constant of 0.5 N/m, how large is the mass that powers the oscillation motion of the machine? (Don't forget to find T first)A block of mass m = 2 kg is attached a spring of force constant k = 500 N/m as shown in the figure below.The block is initially at the equilibrium point at x = 0 m where the spring is at its natural length. Then theblock is set into a simple harmonic oscillation with an initial velocity 2.5 m/s at x = 0 cm towards right. Thehorizontal surface is frictionless. a) What is the period of block’s oscillation? b) Find the amplitude A of the oscillation, which is the farthest length spring is stretched to. c) Please represent block’s motion with the displacement vs. time function x(t) and draw the motion graphx(t) for at least one periodic cycle. Note, please mark the amplitude and period in the motion graph.Assume the clock starts from when the block is just released. d) Please find out the block’s acceleration when it is at position x = 5cm. e) On the motion graph you draw for part c), please mark with diamonds ♦ where the kinetic energy of theblock is totally transferred to the spring…
- The figure shows a bar suspended from a pivot ? with a calibrated spring attaching the bar to the wall. The length of the bar is 0.970 ?, its mass is 0.775 ??, and the tension measured by the calibrated spring is 3.25 ?. Use the standard coordinate system with +? to the right and +? up the page. (a) Write the symbolic equation that represents equilibrium for the forces in the ? − ?????????. (b) Write the symbolic equation that represents equilibrium for the forces in the ? − ?????????. (c) Write the symbolic equation that represents equilibrium for the torques around point ?. Please use ? = 45.0 degrees, ? = 63.0 degrees, ? = 9.80 ?/? 2 , and calculate the horizontal and vertical components of the force the pivot exerts on the bar and the location of the center of mass of the bar, measured from the pivoted end.Suppose you have a 0.750-kg object on a horizontal surface connected to a spring that has a force constant of 150 N/m. There is simple friction between the object and surface with a static coefficient of friction s=0.100 . (a) How far can the spring be stretched without moving the mass? (b) If the object is set into oscillation with an amplitude twice the distance found in part (a), and the kinetic coefficient of friction is k=0.0850 , what total distance does it travel before stopping? Assume it starts at the maximum amplitude.Each piston of an engine makes a sharp sound every other revolution of the engine. (a) How fast is a race car going if its eight-cylinder engine emits a sound of frequency 750 Hz, given that the engine makes 2000 revolutions per kilometer? (b) At how many revolutions per minute is the engine rotating?
- (Figure 1) is the position-versus-time graph of a particle in simple harmonic motion. The phase constant is 60 degrees. What is the velocity at t = 0 s? What is vmax?A pendulum is formed by pivoting a long thin rodabout a point on the rod. In a series of experiments, the period ismeasured as a function of the distance x between the pivot pointand the rod’s center. (a) If the rod’s length is L = 2.20 m and itsmass is m= 22.1 g, what is the minimum period? (b) If x is cho- sen to minimize the period and then L is increased, does the periodincrease, decrease, or remain the same? (c) If, instead,m is increasedwithout L increasing, doesthe period increase, decrease, or remainthe same?Solve the problem. PROVIDE THE GIVEN, REQUIRED, EQUATION, SOLUTION, AND FINAL ANSWER Many single-celled organisms propel themselves through water with long tails, which they wiggle back and forth. (The most obvious example is the sperm cell.) The frequency of the tail’s vibration is typically about 10-15 Hz. To what range of periods does this range of frequencies correspond?