Question Case. Develop a potential energy function for the system illustrated in the figure. Develop the contour and surface graphs using matlab and minimize the potential energy function to determine the equilibrium displacements x1 and x2 given the forcing function F = 100 N, and parameters ka = 20 and kb = 5 N/m. X1 X2 ka k, 77777777777 F 1 M 2 Tur FIGURE Two frictionless masses connected to a wall by a pair of linear elastic springs.

​​​​​​​ 3. OVERLAPPING PHOTOGRAPHS ( 6 MARKS) Write a program, stored in a file named perimeter.py, that performs the following task. - Prompts the user to input the name of text file assumed to be stored in the working directory. We assume that if the name is valid then the file consists of lines all containing 4 integers separated by whitespace, of the form \( x_{1} y_{1} x_{2} y_{2} \) where \( \left(x_{1}, y_{1}\right) \) and \( \left(x_{2}, y_{2}\right) \) are meant to represent the coordinates of two opposite corners of a rectangle. With the provided file frames_1.txt, the rectangles can be represented as follows, using from top bottom the colours green, yellow, red, blue, purple, olive, and magenta. We assume that all rectangles are distinct and either properly overlap or are disjoint (they do not touch each other by some of their sides or some of their corners). - Computes and outputs the perimeter of the boundary, so with the sample file frames_1.txt, the sum of the lengths of the (external or internal) sides of the following picture. Here is a possible interaction with the two provided sample files. \( \$ \) python3 perimeter.py Which data file do you want to use? frames_1.txt The perimeter is: 228 \( \$ \) python3 perimeter.py Which data file do you want to use? frames_2.txt The perimeter is: 9090

An airplane propeller is 2.88 m in length (from tip to tip) and has a mass of 117 kg. When the airplane's engine is first started, it applies a constant net torque of 1850 N⋅m to the propeller, which starts from rest. What is the angular acceleration of the propeller? Model the propeller as a slender rod. What is the propeller's angular speed after making 5.00 revolutions? How much work is done by the engine during the first 5.00 revolutions? What is the average power output of the engine during the first 5.00 revolutions? What is the instantaneous power output of the motor at the instant that the propeller has turned through 5.00 revolutions?

clear handwriting please 4.74 Determine the Thévenin equivalent with respect to the terminals a,b for the circuit shown in Fig. P4.74. .80 Find the Thévenin equivalent with respect to the terminals a, b in the circuit in Fig. P4.80. Figure P4.80

See attached aaВW2DaaW1Given that w1 - 15 kN/m, w2 = 14.5 kN/m and a = 1.5 m,determine the internal normal force, shear force and bending|moment at points D and E of the two-member frame. Round allanswers to the nearest integer.Normal force at Din kN (round to the nearest integer):kNShear force at D in kN (round to the nearest integer):kNBending moment at Din kNm (round to the nearest integer):kNmNormal force at E in kN (round to the nearest integer):kNShear force at Ein kN (round to the nearest integer):|kNMagnitude of bending moment at E in kNm (round to the nearestinteger):kNm

a a W2 D a --- E a W1 Given that w1 = 2 kN/m, W2 = 1.5 kN/m and a = 1.5 m, determine the internal normal force, shear force and bending moment at points D and E of the two-member frame. Round all answers to the nearest integer. Normal force at D in kN (round to the nearest integer): Normal force at Din kN (round to the nearest integer): KN Shear force at D in kN (round to the nearest integer): KN Bending moment at D in kNm (round to the nearest integer): kNm Normal force at Ein kN (round to the nearest integer): kN Shear force at Ein kN (round to the nearest integer): KN Magnitude of bending moment at Ein kNm (round to the nearest integer): kNm

A projectile is launched with an initial speed of 50.0 m/s at an angle of 35.0" above the horizontal. The projectile lands on a hillside 3.5 s later. Neglect ar fretion. (Assume that the treats is to the right and the +y-axis is up along the page.) (a) What is the projectile's velocity at the highest point of its trajectory? magnitude m/s direction counterclockwise from the x- (b) What is the straight-line distance from where the projectile was launched to where it hits its target?