5. A pendulum completes 10 back and forth cycles in 21.8 s. Solve for the period of the pendulum.

5. A child on a swing set swings back and forth with a period of 3.3 s and an amplitude of 25 degrees. What is the maximum speed of the child as she swings?

14. A weight of 16 lb stretches a spring 6 ft. The weight is pulled down 1 ft below the equilibrium position and then released. What initial velocity vo given to the weight would have the effect of doubling the amplitude of the vibration? Use g=32 ft/sec 2.

10. A block hangs on a spring attached to the ceiling and is pulled down 6 inches below itsequilibrium position. After release, the block makes one complete up-and-down cycle in 2seconds and follows simple harmonic motion. a. What is the period of the motion? b. What is the frequency? c. What is the amplitude? d. Write a function to model the displacement ? (in inches) as a function of the time ? (in seconds) after release. Assume that a displacement above the equilibrium point is positive.e. Find the displacement of the block and direction of movement at ? = 1 sec.

What length pendulum has a period of about 5.79_s? А. 9.127_m 8.322_m 10.3_m 9.954 m F. D. В. Е. С. 9.505_m 8.637_m

Use a ratio to compare the period on the Moon to the period on the Earth for a pendulum with length 5.0 m. (UsegEarth = 9.8 m/s? and gMoon = 1.6 m/s?) А. 2.797 D. 2.475 В. 2.822 Е. 2.67 С. 2.602 F. 2.766

4. The period of oscillation of a given mass that is connected to a vertical spring (k₁= 330 N/m) is 1.60 s. If the same mass were instead suspended from a different spring (k₂= 470 N/m), what would be the period of oscillation? 2 W S X H command 3 E D € C 4 R F % 5 Search or type URL : T G MacBook Pro 6 B Y H at 7 U N 8 J 1 M 9 K ← O < F дв Mi O L 32 111.328 P command : ; X € ? option

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3. According to theory, the period T of a simple pendulum is T = 2π a. If L is measured as L = 1.25 ± 0.013 m; what is the predicted value of T? b. Would you say that a measured value of T = 2.25 +0.012 s is consistent with the theoretical prediction of part (a)?

The period of oscillation of a mass-spring system: 1. Depends on the amplitude. 2.Depends on the ratio of amplitude and the mass. 3. Depends on the mass.