Two identical mass-spring systems, A and B, with different damping ratios are driven by an external force with a variable frequency. The phase difference between the drive force and the displacement of the system is plotted as a function of the drive angular frequency and is shown below for both A and B. Which of the statements below is correct? 3.0 Phase Difference (rad) 1 0.5 A B 0.0 4 Q 0 Driver Frequency (rad/s) Show Transcribed Text D Select one: The damping ratio of A is less than that of B and the resonance for both systems has an angular frequency of approximately 2.5 rad/s. The damping ratio of A is less than that of B but the angular frequency of the resonance for both systems cannot be determined from the plot. The damping ratio of B is less than that of A and the resonance for both systems has an angular frequency of approximately 2.5 rad/s. The damping ratio of B is less than that of A but the angular frequency of the resonance for both systems cannot be determined from the plot. The damping ratio of A is less than that of B and while the resonance for A has an angular frequency of approximately 2.5 rad/s, B does not show a resonance.

You have an odd grandfather clock. Its timingpendulum is a cylinder that rotates about its end (roughlyseen in figure below). If the cylinder is made of aluminiumand has a diameter of 67 cm and thickness of 42 cm, whatwill be its timing frequency?

The tuning fork prongs vibrate at 350 Hz with an amplitude of 0.500 mm. A small insect with a mass of 0.025 g lands on the tip of one of the prongs. Assuming that its mass has a negligible effect on the frequency of oscillation, then: A. What is the maximum kinetic energy of the insect? B. Illustrate. NOTE: Answer should be 1.51 x 10^-5 Joules

Problem 3 Consider a cantilever beam shown in Figure 3 with the length I, flexural rigidity EI, and an external force Fosin0t. Ignore the mass and damping of the beam itself. The mass m is located in the center of the beam. 0=V6EI / ml (1) Calculate the natural frequency of the system; (2) Calculate the maximum dynamic displacement at the location of m. EI m Fosinet 1/2 1/2 Figure 3

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A clock balance wheel has a period of oscillation of 0.200 s. The wheel is constructed so that its mass of 15.0 g is concentrated around a rim of radius 0.600 cm. Balance wheel (a) What is the wheel's moment of inertia? 5.4e-7 v kg-m2 (b) What is the torsion constant of the attached spring? 1.06e-4 Your response differs from the correct answer by more than 10%. Double check your calculations. N•m/rad © Cengage

A .25kg harmonoc oscillator has a total mechanical energy of 4.0 J. If the oscillation amplitude is 20 cm. What is the angular speed, in rad/s?

A uniform disk of radius R = 0.3 meters and mass M = 0.8 kg can oscillate in the vertical plane, around an axis that passes through the pin, indicated in the figure, which is located at a distance “d” from the center of the disk. What is the value of “d” so that the period of oscillation is minimum?

tion - A pendulum 4.03 m in length swings through 47 degrees. Calculate the curvilinear distance (s) traveled by its tip to 2 decimal places. Answer: pe here to search E D da. D R F Bi T G 6 B Y & H N U J 8 1 M N 9 K S Ps L >> P Next page ASXXCTD +1.33% Fint

The cylinder is confined by the brake as shown in (Figure 1), where = 0.4. The spring has a stiffness of k= 3 MN/m and an unstretched length of 60 mm. End C of member ABC slides freely along the smooth vertical guide. Figure 400 mm. 200 mm 250 mm 1 of 1 Determine the required compression in the spring in order to resist a torque of 800 Nm on the cylinder. Express your answer to three significant figures and include the appropriate units. S= ■ Value Submit μÅ Provide Feedback Request Answer → Units ?