PLS ANSWER

A tube 1.30 m long is closed at one end. A stretched wire is placed near the open end. The wire is 0.357 m long and has a mass of 9.50 g. It is fixed at both ends and oscillates in its fundamental mode. By resonance, it sets the air column in the tube into oscillation at that column's fundamental frequency. Assume that the speed of sound in air is 343 m/s, find (a) that frequency and (b) the tension in the wire. (a) Number i 66.0 (b) Number i Units Hz Units

The following is used to model a wave that impacts a concrete wall created by the US Navy speed boat.1. Derive the complete piecewise function of F(t) and F()The concrete wall is 2.8 m long with a cross-section area of 0.05 m2. The force at time equal zero is 200 N. It is also known that the mass is modeled as lumped at the end of 1200 kg and Young’s modulus of 3.6 GPa2. Use *Matlab to simulate and plot the total response of the system at zero initial conditions and t0 = 0.5 s

The charges and coordinates of two charged particles held fixed in an xy plane are 91 = 3.01 μC, x1 = 4.94 cm, y₁ = 0.559 cm and 92 = -5.09 µC, x2 = -2.10 cm, y2 = 1.11 cm. Find the (a) magnitude and (b) direction (with respect to +x-axis in the range (-180°; 180°]) of the electrostatic force on particle 2 due to particle 1. At what (c) x and (d) y coordinates should a third particle of charge 93 = 5.17 μC be placed such that the net electrostatic force on particle 2 due to particles 1 and 3 is zero? (a) Number i Units (b) Number i Units (c) Number i Units (d) Number i Units

3. The equation of motion and initial conditions governing the vertical position of a vertical spring-mass system are given below. Transform this equation into a system of 1st order ODEs and solve the system using MATLAB's ode45 function. Provide a plot of y vs. t from 0 to 2 seconds. mj = −k(y – yo) — mg y(0) = 1 m y (0) = 4 m/s k = 100 N/m m = 2 kg g = 9.81 m/s² Yo = 1 m

Please work out question 44 and show work for explanation of how you came up with your answer.

A 200 gallon tank initially contains 100 gallons of water with 20 pounds of salt. A salt solution with 1/5 pound of salt per gallon is added to the tank at 10 gal/min, and the resulting mixture is drained out at 5 gal/min. Let Q(t) denote the quantity (lbs) of salt at time t (min). (a) Write a differential equation for Q(t) which is valid up until the point at which the tank overflows. Q' (t) = = (b) Find the quantity of salt in the tank as it's about to overflow. esc C ✓ % 1 1 a 2 W S # 3 e d $ 4 f 5 rt 99 6 y & 7 h O u * 00 8 O 1 9 1 O

Problem 2 Write a computer program that can be used to determine the magnitude and the point of application of the resultant of the vertical forces P1 , P2, ..., P, that act at points Aj , A2, ..., An that are located in the xz plane: P2 Pn P1 An N

2. The flight of a model rocket can be modeled as follows. During the first 0.15 s the rocket is propelled upward by the rocket engine with a force of 16 N. The rocket then flies up while slowing down under the force of gravity. After it reaches the apex, the rocket starts to fall back down. When its downward velocity reaches 20 m/s, a parachute opens (assumed to open instantly), and the rocket continues to drop at a constant speed of 20 m/s until it hits the ground. Write a program that calculates and plots the speed and altitude of the rocket as a function of time during the flight.