Chapter 5.5, Problem 78P

2: The given continuous beam supports a uniform load with magnitude w. It has an internal hinge at C. (a)Calculate the maximum uniform load w that the beam can carry if it has a moment capacity of 65 kN-m for negativebending; (b) Calculate the maximum uniform load w that the beam can carry if it has a moment capacity of 85 kN-m forpositive bending; (c) Calculate the maximum uniform load w that the beam can carry if it has a shear capacity of 40 kN.

CORRECT AND DETAILED SOLUTION WITH COMPLETE FBD ONLY. I WILL UPVOTE.  10: A wooden beam 150 mm wide by 300 mm deep is loaded asshown. The maximum flexural stress developed is 8 MN/m2. (a) Computethe maximum moment the beam section can resist. (b) Determine themaximum value of the uniform load w in kN/m. (c) Calculate the maximumvalue of the concentrated load P.

This is a tilt and rotation question. Here are notes attached for reference. ONLY UPLOAD A SOLUTION IF YOU ARE SURE ABOUT THE ANSWER PLEASE.

(b): Let us first consider controlling the orbit of deputy spacecraft to rendezvous with chief spacecraft. Define x = [r] and x = x = R to represent the deputy orbital state and its target (= chief orbit) in Cartesian coordinates, respectively. The control input is thruster acceleration, u € R³, in the ECI frame. Denote the relative state by dx = x-x. Table 2 summarize the initial orbital elements. Table 2: Keplerian orbital elements at epoch (t = 0) for deputy and chief about Earth (ECI frame) Orbital element Deputy Unit Chief semi-major axis ad = 11500 ac 10000 km eccentricity inclination ed = 0.15 id=35 ee = 0.3 i = 50 degree right ascension of ascending node d = 50 Ως = 50 degree argument of periapsis true anomaly at epoch Wd Vd= 0 = 40 We = 40 degree Ve=0 degree (b.1): Derive the error dynamics of our system in ECI frame under the influence of u. (b.2): Consider a candidate Lyapunov function V = ½dr¹ K₁dr+dv₁dv, where K₁ = K, and K, > 0. Discuss the positive definiteness of V, and…

One image show problem c.1 and c.2 that I need help with. The second image shows the lyapunov function and its derivative but it is NOT the same function that is given in problem. I have attached that image as an example.

This is a tilt and rotation question. Here are notes attached for reference.

The crate of mass m is supported on a cart of negligible mass as shown in (Figure 1). Determine the maximum force P that can be applied a distance d from the cart bottom without causing the crate to tip on the cart. Express your answer in terms of some, all, or none of the variables b, d, h, m, and the acceleration due to gravity g. P B h

Consider a pair of pipes running in parallel, through which 1200 GPM flows, which have thefollowing features:Pipe 1: Carbon Steel, Schedule 40, 8" Diameter, 1200 GPM, Water at 44°F, Fittings:2 tees, 2 butterfly valves, 2 pressure gauges with their respective ball valves, 1 valvemotorized balloon. All valves are completely open. Length of the pipe is 6 feet. Pipe 2: consists of a carbon steel bypass pipe, schedule 40, diameter of 4",with the following accessories: 2 elbows long radius of 90° and an open globe valve.The length of the pipe is 10 feet. a) Determine the flow rate in each pipe.b) The pressure drop.

1-ft3 of air is contained in a spring-loaded piston-cylinder device. The spring constant is 6 lbf/in, and thepiston diameter is 12 in. When no force is exerted by the spring on the piston, the state of the air is 250 psiaand 450◦F. This device is now cooled until the volume is one-third its original size. Determine the changein the specific internal energy and enthalpy of the air.