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

T 56. Damped sine wave The graph of f(t) = e¯' sin t is an example of a damped sine wave; it is used in a variety of applications, such as modeling the vibrations of a shock absorber. a. Use a graphing utility to graph ƒ and explain why this curve is called a damped sine wave. b. Compute f'(1) and use it to determine where the graph of f has a horizontal tangent. c. Evaluate lim e¯ª sin t by using the Squeeze Theorem. What does the result say about the oscillations of this damped sine wave?

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. Enter your answer in the answer bos Save for Later Type here to search

B. E. 0.2727 m 0.3140 m 0.3497 m 0.3087 m C. F. 1--1 NUTOJ A 2.9 kg mass is attached to a spring with constant 24_N/m and is moving horizontally on a frictionless surface. If the object has speed 1.4_m/s as it passes through the equilibrium position, then what is the maximum displacement of the object? I 24. A. 0.4867_m D. 0.4348 m B. 0.1773 m E. 0.257_m C. 0.4112_m F. 0.5435 m JABBX Two objects are connected by a light string passing over a light, frictionless pulley. The 5.00-kg object is released from rest at a point 4.00 m above the floor. Find the speed of the 5.00-kg object when it is 1 meter above the floor. 5.00 kg Pigshow.jpeg Pig show.jpeg MacBook Pro

A spring with spring constant 15 N/m hangs from the ceiling. A ball is attached to the spring and allowed to come to rest. It is then pulled down 9.5 cm and released. The ball makes 20 oscillations in 23 s seconds. You may want to review (Pages 403-404) Part A What is its the mass of the ball? Express your answer to two significant figures and include the appropriate units. m = Submit Part B "i Vmax= μA Submit Value Request Answer What is its maximum speed? Express your answer to two significant figures and include the appropriate units. μA Value Units Request Answer ? Units ?

Which of the following four options is the correct one Which one or more? a. A spectrogram is a graph of frequency against amplitude and time with time on the x-axis, frequency on the y-axis and amplitude indicated by brightness or colour. b. A spectrogram is a graph of amplitude on the y axis against time on the x-axis. c.   A spectrogram is a graph of frequency against amplitude and time with time on the x-axis, frequency on the y-axis and amplitude indicated by crosses. d.   A spectrogram is a graph of amplitude against frequency and time with frequency on the x-axis, time on the y-axis and amplitude indicated by brightness or colour.

Pendulum clocks use the repetitive motion of the oscillations to track time. Imagine you have one of these clocks and you move from the lower elevation of St. Catharines to the higher elevation of Calgary. Will you need to adjust the length of the pendulum to keep time correctly? If so, will you need to increase or decrease the length of the pendulum to ensure the pendulum keeps time correctly? O The length of the pendulum will need to be decreased. O The length of the pendulum will need to be increased. O The length of the pendulum will not need to be changed.

I would like some help with thus problem, thank you!

A mass of 1.64 Kg is connected to a spring of spring constant 9.02 N/m. An oscillation is started by pulling the mass to the right to amplitude 0.779 m before release and the oscillator moves in air. The oscillation decays to 16.7% of the original amplitude in 63.5 seconds.   a.  What would the position of the oscillation be 29.63 seconds after release?