f() f()-40 sin t+100 2 . Let in seconds. write the equation if the amplitude of f begins increasing by 2 feet per second, be the basic sinusoidal function where fis in feet and t is and the midline starts decreasing by 15% each second.

Alert 1 of 1: Juniors and Seniors: Spring Formals S... F6 MULTIPLE CHOICE Graph What is the amplitude? F7 = = cos(x - 2) B А A-1/10 C −1+ -|N 3 D 1 õõo ő ő ő o 0 of 6 Total Questions Answered ooo DELL F8 2 Lake/0/ F9 DISMISS on your own graph paper. с F10 F11 Attempt 1 of 2 All Changes Saved F12 Insert t D 31 K Home D 4:49 P Ok 4/26/20 (())) Continue End

A particle oscillates according to  x = Acos(ωt + δ) Determine the phase constant δ if the particle starts from x0 = −A.

Observations of the water particle motions in a small amplitude wave system have resulted in major semiaxis=10cm and minor semiaxis=5cm for a total water depth of 1m. These observations apply for a particle whose mean position is at middepth. What are the wave height, period, and wavelength?

Ex 1. Get the motion equations for the double pendulum shown in the Fig.14 for when unknowns are X1 and X2. Consider that the system suffers small angular variations. Calculate the natural frequencies and vibrate modes. Given m1 = m2 = m and L1 = L2 = L: s u un L m2 Fig. 14: Illustration of the double pendulum Ex 2. Considering the previous exercise, derive the equations of movement using coordinated 0, and 02. Next, get the natural frequencies and ways to vibrate.

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A mass on a spring is held at a distance of 0.05 m from the equalibrium position. It is then released at time t=0 and undergoes simple harmonic motion. If the mass was 0.2 kg and the spring constant k was 6 Nm-1, what is the velocity of the mass at time = 7 seconds?

thin re is measured The second harmonic frequency for a long at 200 Hz when it is attached to the ceiling with amass in tied to its bottom. Adding an extra lkg to the hanging mass increases the second harmonic Frequency to 245 M₂. Findm [draw appropriate diagrams to explain]

Number 5

The position of a Simple Harmonic Oscillator based on time is given by x-3.8 cos(5o/4.t+π/6) where t is in seconds and x in meters. Find a) maximum speed and b) maximum acceleration, and c) speed and acceleration at t-0 sec.