In the figure, a physical pendulum consists of a uniform solid disk (of radius R = 46.7 cm) supported in a vertical plane by a pivot located a distance d = 23.8 cm from the center of the disk. The disk is displaced by a small angle and released. What is the period of the resulting simple harmonic motion? Number Units Pivot R d
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- A uniform density stick of length L oscillates as a physical pendulum. It is pivoted a distance x from the center of mass. as shown in the diagram Part a) find an expression for the value of x that gives the largest angular frequency( the shortest period) Part b) calculate the numerical value for the largest angular frequency of L=1.85m. Answer in mWhen the displacement of an object in simple harmonic motion is ±A, what is its speed? (max, min, zero, etc). Explain what is happening in this part of the motion and why the velocity must be this.The graph plots the position of an object in simple harmonic motion along the x-axis. x [cm] -3 -2 -1 0 1 2 3 O C D. A = 6 cm; f = 0.125 Hz OB 0 OD 2 O A t [s] What are the amplitude (A) and frequency (f) of these oscillations? A. A = 6 m; f = 8 Hz B. A = 3 cm; f = 4 Hz C. A = 3 cm; f = 0.125 Hz 4 6 8 10
- 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 child on a swing set swings back and forth with a period of 3.3 s and an amplitude of 25°. What is the maximum speed of the child as she swings?A mass M is attached to an ideal massless spring. When this system is set in motion with amplitude A, it has a period T. What is the period if the amplitude of the motion is increased to 2A? 2T T/2 sqrt(T) 4T
- A pendulum that consists of two uniform rings, the first ring has Radius R = 12 cm and mass 2.5kg, and the second ring has radius r= 7cm and mass 1.6kg. Both rings are attached to a rod of mass 0.15kg. The pendulum swings freely about frictionless pivot o. If the pendulum is to have a period of 2.2 a for small oscillations, what must be the rod length L?A large block with mass 18 kg executes horizontal simple harmonic motion as it slides across a frictionless surface with a frequency 1.27 Hz. Block smaller block with mass 5 kg rests on it, as shown in the figure, and the coefficient of static friction between the two is flg = 0.401. The acceleration of gravity is 9.8 m/s². k -0000² 25 5 kg s=0.401 18 kg What maximum amplitude of oscillation can the system have if the block is not to slip? Answer in units of cm.In the figure, a physical pendulum consists of a uniform solid disk (of radius R = 26.0 cm) supported in a vertical plane by a pivot located a distance d = 15.7 cm from the center of the disk. The disk is displaced by a small angle and released. What is the period of the resulting simple harmonic motion? %3D %3D Pivot• R. Number i ! Units S
- A 2.40 kg ball is attached to an unknown spring and allowed to oscillate. The figure shows a graph of the ball's position x as a function of time t. a) For this motion, what is the period? b) What is the frequency? c) What is the angular frequency? d) What is the amplitude? e) What is the force constant of the spring?A pendulum's angular position is given by e = 0.0310 cos(mt), where e is in radians and w = 3.83 rad/s. Find the period (in s) and length (in m) of the pendulum. period -5.29 How does period depend on angular frequency? s length 5.29 How does the angular frequency of a pendulum depend on its length and the free-fall acceleration? mChapter 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 Work