The following exercise draws the period and graph of x versus t of a mass-spring system with elastic constant k=8 Kg/s² and m=2 Kg, which is displaced from its equilibrium position ma, distance d=0.5m. Based on the answer, find the energy of the mass-spring system, for: t1 = (3π/8) s and t2 = 2π s
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- A mass on a spring oscillates 43.0 times in 13.2 s. What is the frequency of the oscillation? For the oscillator in Problem 5, how many oscillations would it make in 2.0 s?Consider a block with mass mm attached to a spring with spring constant kk, and the other end of the spring is held stationary. The block is displaced a distance AA from the equilibrium position. When the block is released from rest it undergoes simple harmonic motion, and its time-dependent position given by x(t)=Acos(ωt) Enter an expression for the time-dependent elastic potential energy of the spring-block position using only the symbols in the palette. Enter an expression for the time-dependent velocity of the block using only the symbols in the palette.1. Calculate the Q value of the reaction: ointe) Li+He- "B+ ¿n 10
- A pendulum has a period of 5.8 s. If you were to transfer this pendulum to the surface of Mars (where g is 3.71 meters per second squared), what would the period (in seconds) be?The small 0.25-kg slider is known to move from position A to position B along the vertical-plane slot. Determine (a) the work done on the body by its weight and (b) the work done on the body by the spring. The distance R = 0.83 m, the spring modulus k = 157 N/m, and the unstretched length of the spring is 0.61 m. B R 3 Answers: 0 k A (a) Work done on the body by its weight: Ug (b) Work done on the body by the spring: UsA small block of mass M = 850 g is placed on top of a larger block of mass 3M which is placed on a level frictionless surface and is attached to a horizontal spring of spring constant k = 3.5 N/m. The coefficient of static friction between the blocks is μ = 0.2. The lower block is pulled until the attached spring is stretched a distance D = 1.5 cm and released.Randomized Variables M = 850 gD = 1.5 cmk = 3.5 N/m a) Calculate a value for the magnitude of the maximum acceleration amax of the blocks in m/s2. b) Write an equation for the largest spring constant kmax for which the upper block does not slip. c) Calculate a value for the largest spring constant kmax for which the upper block does not slip, in N/m.
- Chapter 15, Problem 051 GO In the figure, a stick of length L = 1.9 m oscillates as a physical pendulum. (a) What value of distance x between the stick's center of mass and its pivot point o gives the least period? (b) What is that least period? L/2 (a) Number Units (b) Number Units udy Click if you would like to Show Work for this question: Open Show WorkAn object is attached to a coiled spring. The object is pulled down (negative direction from the rest position) 9 centimeters, and then released. Write an equation for the distance d of the object from its rest position, after t seconds if the amplitude is 9 centimeters and the period is 6 seconds. The equation for the distance d of the object from its rest position is (Type an exact answer, using z as needed. Use integers or fractions for any numbers in the equation.) (? Enter your answer in the answer box. Save for Later 3:18 PM O Type here to search O 11/15/2020 PgUp PgDn F12 DII PrtScn Home F9 End F10 F11 Ins F4 F5 F6 F7 F8 F1 F2 F3 2$ & ) %23 %3D 3. 4. 5 6 7 8 E R Y U | [ TThe period of motion of an object-spring system is T = 0.642 s when an object of mass m= 266 g is attached to the spring. (a) Find the frequency of motion in hertz. (b) Find the force constant of the spring. (c) If the total energy of the oscillating motion is 0.176 J, find the amplitude of the oscillations. please show every step so I can learn how to do it. Thank you!
- A block of mass m = 0.72 kg attached to a spring with force constant 119 N/m is free to move on a frictionless, horizontal surface as in the figure below. The block is released from rest after the spring is stretched a distance A = 0.13 m. (Indicate the direction with the sign of your answer. Assume that the positive direction is to the right.) (a) At that instant, find the force on the block. N (b) At that instant, find its acceleration. m/s²Scientists have developed a clever way to measure a mass of virus using a spring. A cantilever beam in the scanning electron microscope image below is like a diving board, except that it is extremely small (a couple of micrometer). The cantilever beam with mass m can oscillate (imagine a vibrating diving board) and it can be modeled as a spring with a spring constant k. What you can measure experimentally is the frequency of oscillation of the cantilever first without the virus (f1) and after the virus had attached itself to the cantilever (f2). (a) Find the mass of virus from f1 and f2 (assume that we don’t know the spring constant k) (b) Suppose the mass of cantilever is 10.0 * 10^-16 g and a frequency of 2.00 * 10^15 Hz without the virus and 2.87 * 10^14 Hz with the virus. What is the mass of the virus?The diagram shows a horizontal spring attached to a block. The block’s equilibrium position is at C, and the block oscillates between the points A and E with no friction from the floor. As the block moves from C to E, which of the following statements is true? Usp is the spring potential energy of the spring and K is the kinetic energy of the block. Usp decreases, K decreases Usp stays the same, K stays the same Usp decreases, K increases Usp increases, K decreases Usp increases, K increases