A damping force affects the vibration of a spring so that the displacement of the spring is given by y = e -4t(cos 4t + 4 sin 4t). Find the average value of y on the interval from t = 0 to t = π. (Round your answer to three decimal places.)

Solve for the indicated value, and graph the situation showing the solution point. The formula for measuring sound intensity in decibels D is defined by the equation D = 10 log (1) using the common (base 10) logarithm where I is the intensity of the sound in watts per square meter and Io = 10-12 is the lowest level of sound that the average person can hear. How many decibels are emitted from a jet plane with a sound intensity of 8.7. 102 watts per square meter? Round your answer to three decimal places. The jet plane emits Number decibels at 8.7. 102 watts per square meter. Select the correct graph of the situation showing the solution point. 200 D 150 100- 50 400 800 1200 1600 2000 400 800 1200 1600 2000 O O 0 200D 150- 100 50 0 200- Subr

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Q1: The rubber mallet is used to drive a cylindrical plug into the wood member. If the impact force varies with time as shown in the plot, determine the magnitude of the linear impulse delivered by the mallet to the plug. [ Ans: Impulse (1) = 1.7 N.m ] 200 70.010 0.009 0 0.002 F,N

Q1: The rubber mallet is used to drive a cylindrical plug into the wood member. If the impact force varies with time as shown in the plot, determine the magnitude of the linear impulse delivered by the mallet to the plug. [ Ans: Impulse (I) = 1.7 N.m ] 200 o 0.002 0.010 0.009 1, 8 F, N

A support beam used in one of the designs for the theme park, is subjected to vibrations along its length; emanating from two machines situated at opposite ends of the beam. The displacement caused by the vibrations can be modelled by the attached equations:   For the attached equations you are required to determine the followings for the vibration of this beam: 1-At what time does each vibration first reach a displacement of −2mm? 2- Use the compound angle formulae to expand x1 and x2 into the form   A sin 100πt +-B cos 100πt, where A and B are numbers to be found.   3-Using your answers from part 2, express in a similar form. Convert this expression into the equivalent form R sin (100πt + α)

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ABOCD are five points, in that order, in a straight line AD. AO=OD. A particle moving with SHM along the line takes one second to move from A to C. The frequency of the particle's motion is 0.3183 Hz. The velocity of the particle at 0 is 14m/s.1. Determine the amplitude of the motion 2. What is the displacement of C from O?3. Determine the lengh AB if the velocity of the particle at B is 9.8 m/s.

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A support beam used in one of the designs for the theme park, is subjected to vibrations along its length; emanating from two machines situated at opposite ends of the beam. The displacement caused by the vibrations can be modelled by the attached equations:   For the attached equations you are required to determine the followings for the vibration of this beam: 1-At what time does each vibration first reach a displacement of −2??? 2- Use the compound angle formulae to expand and into the form   ? sin 100??  ? cos 100??, where ? and ? are numbers to be found. 3-Using your answers from part 2, express in a similar form. Convert this expression into the equivalent form ? sin (100?? +