An object moves in simple harmonic motion described by the equation d= 4 cos t, where t is measured in seconds and d in inches. Find the following. a. the maximum displacement b. the frequency c. the time required for one cycle a. in. b. cycles per second C.
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- A mass-spring system has a solution of x = 0.5 m sin (57/12*t). A. The system's amplitude is m. B. Its period is S. C. Its frequency is Hz. D. The displacement at 8 seconds is www m. Round all answers to 2 decimal places..An object moves in simple harmonic motion described by d = 6 cos 1, where t is measured in seconds and d in inches. Find: a. the maximum displacement b. the frequency c. the time required for one cycle.3. An object is executing simple harmonic motion with its position given by x(t) = (0.1m) cos(6t), where t is in seconds. Solve for the following values of this motion. Make sure you include the appropriate units a. Amplitude b. Frequency c. angular frequency d. Period Draw the velocity vs. time graph for this motion. Make sure you use the correct values on your е. аxes.
- A 4.5-kg block is hung from a spring causing the spring to elongate 12 cm. a. What is the spring constant for this spring? b. Calculate the period of oscillation. c. Calculate the frequency of oscillation.In a science museum, you may have seen a Foucault pendulum, which is used to demonstrate the rotation of the earth. In one museum’s pendulum, the 110 kg bob swings from a 15.8-m-long cable with an amplitude of 5.0°.a. What is the period of this pendulum?b. What is the bob’s maximum speed?c. What is the pendulum’s maximum kinetic energy?d. When the bob is at its maximum displacement, how much higher is it than when it is at its equilibrium position?1. A large simple pendulum is 2 m long. The mass at the end is 3 kg. a. What is the period of oscillation? b. The length of the pendulum is doubled to 4 m. What is the period of oscillation? C. The length of the pendulum is shortened back to 2 m, but the mass is doubled to 6 kg. What is the period of oscillation?
- Part2An object oscillates with simple harmonic motion along the x axis. Its position varies with time according to the equation and is in meters. T x(t) = 4.00c os at + —▬▬▬▬▬▬ 4 t is in seconds and the angles in the parentheses are in radians. a) Determine the amplitude, frequency, and period of the motion. b) Write equations for the velocity and acceleration of the object at any time t. c) Using the results of part (b), determine the position, velocity, and acceleration of the object at t = 1.00 s. (d) Determine the maximum speed and maximum acceleration of the object.Thanks!
- Pendulum A has length L and a bob of mass M at its end. Pendulum B has length L/4 and a bob of mass M/9 at its end. If both pendulums are set in motion with small amplitude oscillations, what is the ratio of their frequencies fA/fB? A. 2/1 B. 1/4 C. 1/2 D. 2/3 O A OBA 2.2 kg mass oscillating while attached to a vertical spring with spring constant k = 11 N/m travels through its equilibrium position at speed v = 1.1 m/s. What is the amplitude of this oscillator's motion? A. 0.22 m B. 0.49 m C. 0.40 m D. 0.58 m O A OB oo O C DA mass of 2.00kg is pulled to the right 15.5 cm and released at t=0 seconds. The period of the oscillation on a frictionless surface is measured to be 2.05 seconds. a. what is the spring constent? b. what is the maximum velocity? c. what is the maximum acceleration?