What is the phase constant (from 0 to 27 rad) for the harmonic oscillator with the velocity function v(t) given in the figure if the position function x(t) has the form x = xmcos(wt + p)? The vertical axis scale is set by vs = 5.00cm/s. v (cm/s) -VS
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- The pendulum shown below consists of a uniform disk with radius r = 2.35 cm and a mass of 460 grams. The disk is supported in a vertical plane by a pivot located d = 1.75 cm from the center of the disk. Pivot• R. a. What is the frequency of oscillation if the disk is displaced by a small angle and released? Hz b. What is the frequency of oscillation if the mass of the disk is and then displaced by a small angle and released? HzA mass m = 3.3 kg is at the end of a horizontal spring on a frictionless horizontal surface. The mass is oscillating with an amplitude A = 4.5 cm and a frequency f = 1.5 Hz. a. Write an equation for the spring constant k. b. Calculate the spring constant k, in Newtons per meter. c. Write an equation for the total mechanical energy, E, of the motion. Your expression should be in terms of the variables in the original problem statement. d. Calculate the total mechanical energy E, in joules.The pendulum shown below consists of a uniform disk with radius r = 2.35 cm and a mass of 410 grams. The disk is supported in a vertical plane by a pivot located d = 1.75 cm from the center of the disk. Pivot• d R. a. What is the frequency of oscillation if the disk is displaced by a small angle and released? Hz b. What is the frequency of oscillation if the mass of the disk is and then displaced by a small angle and released? Hz
- A pendulum is formed by placing a horizontal axis at various positions of a measuring stick of length 108 cm. What is the period in seconds of the pendulum when the axis is placed at the 81.0-cm mark?8.1An object undergoing purely oscillatory motion in one dimension has an acceleration given by: ax(t)=−amaxsin(2pi t / T+ delta) with amax = 2.97 m/s2, T = 8.9 s, and delta= 1.03 rad. What is the maximum speed of the object? What is the amplitude of the object's position? What is the change in x-component velocity of the object from t = 0 s to t = 4.70 s? (your calculator must be in radians for this problem)
- For a simple harmonic oscillator with x = A sin ot 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 w, use omega. Please use the "Display response" button to check you entered the answer you expect. U= Display responseb. An object with a mass of 0.2 kg attached to a spring exhibits simple harmonic motion according to the equation x = 0.04 cos ( 20zt +"). Find the frequency and the period of the oscillation. Find the velocity of the particle, its acceleration and the acting force, as well as the amplitudes of the respective quantities. wwwip Figure 3: Question 2(b) A spring mass system5). The motion of a particle is defined by the follouing equations: ex = x-2y and dt dy =5x-y with x(0)=2 and yco) =-1 dt a. Find x(t) and yit) b. If xlt) and yct) are perniodic, find their amplitudes and peiods. Co which apaph represents the moton best? 3. う人 フイ NIETHER A 2.
- 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 WorkFor a simple harmonic oscillator with x = A sin ot write down an expression for the magnitude of acceleration. 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 power (e.g. A2) use A^2 or A*A. For trigonometric functions use the usual sin and cos, while for Greek letters such as w, use omega. Please use the "Display response" button to check you entered the answer you expect. a= Display responseSHMQ5