Use the information given in the figure below. When the supporting posts are removed, calculate the magnitude of the following: the torque on each side and the net torque of the balancing beam.
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- A differential equation encountered in the vibration of beams is d4ydx4=2D where x = distance measured along the beam; [x]=[L] y = displacement of the beam; [y]=[L] = circular frequency of vibration; []=[T1] = mass of the beam per unit length; []=[ML1] D = bending rigidity of beam; [D]=[FL2] Show that the equation is dimensionally homogeneous. Note that [F]=[MLT2] see Eq. (1.21:).Figure (a) shows the cross section of a column that uses a structural shape known as W867 (wide-flange beam, nominally 8 in. deep, weighing 67 lb/ft). The American Institute of Steel Construction Structural Steel Handbook lists the following cross-sectional properties: A=19.7in.2,Ix=272in.4, and Iy=88.6in.4. Determine the dimensions of the rectangle in Fig. (b) that has the same Ix and Iy as a W867 section.The second moment of area of a rectangle is given by the formula I =bh^3/12where b is the breadth and h is the height.Determine the approximate percentage error, if b is measured 3% too largeand the height h is measured 1.7% too small.(Use the Binomial Expansion Method)
- An aircraft engine develops a forward thrust of 15000 N. If the gross mass of the aircraft is 100 tons, what horsepower thus the engine develop if it is flying at 1000 kph? (Please show the solvings step by step please Thank you!)GIVEN: L1=20 N GIVEN: a= 4m GIVEN: L2= 20 N GIVEN: b= 5m GIVEN: L3=20 N GIVEN: c= 6m GIVEN: L4= 0 N GIVEB: e= 3m GIVEN: L5= 10 N ANSWER: (a) Ax in N (b) Ay in N (c) Ex in N (d) Ey in N PLS SOLVE IN A COMPLETE SOLUTION AND WRITE LEGIBLY AND ALSO DRAW THE FREE BODY DIAGRAMb)A simply supported beam has a symmetrical rectangular cross-section. If the second moment of area (I) of a beam with a rectangular cross-section is 11.50 x 106 mm4 about its centroidal x-axis and the depth dimension (d) of the rectangular section is 180 mm, determine the breadth dimension (b) for this beam section. Give your answer in millimetres (mm) and to 2 decimal places. Assume the beam section material is homogeneous c) The same rectangular cross-section beam in Q2b is subjected to a maximum bending moment of 25,000 Nm and experiences sagging. Assuming that the centroidal axis passes through the beam section at (d/2), calculate the maximum bending stress (?max) the beam will experience. Give your answer in N/mm2 and to 2 decimal places.
- 5. Gravity is given by g = 9.81 - 3.32 X 10^-6 h m/s^2, where h is the height above sea level. An airplane is travelling at 900 km/h at an elevation of 10 km. If its weight at sea level is 40 kN, determine (a) its kinetic energy and (b) its potential energy relative to sea level. Derive with the formula below, show the cancellation, explain the step by step and draw a free body diagram/figure. refer with this: PE1 + KE1 + U1 + WF1 + Q1 + W1 = PE2 + KE2 + U2 + WF2 + Q2 + W2 + E losses.We have 2 individuals pulling a marshmellow with ropes. The resultant force is directed along the positive x-axis. Person A is pulling at 60 degree angle. 1. Find what angle ? is if individual B is pulling twice as hard as individual A. 2. Draw the vector addition relationship between the force vectors ??, ??. Also, find FA and FB resultant force, shown using ?. Use either the parallelogram law or the triangle rule.Consider a uniform ladder of length 4.3 m and mass 10 kg. The ladder is falling over, pivoting about the end that is touching the ground. Someone is pushing on the top end of the ladder with a horizontal force of size 415 N. At the instant when the ladder makes a 46 degree angle with the horizontal, calculate the net torque on the ladder about its bottom end, in N m. Make your answer positive, and use g = 10 m/s2. (Please answer to the fourth decimal place - i.e 14.3225)
- Kindly solve this problem with complete solution so that I can Understand.v. Correct Final answer: 60.59 %5.3. Plot the variation of Ex, Gxy, νxy, mx, and my for a lamina with the following properties: EL = 35 GPa ET = 3.5 GPa GLT = 4 GPa νLT = 0.45 (Please type answer no write by hend)strength of material MENG222 Please solve the problem step by step and make your line clear and don't forget FBD and show me your step Please make sure your answer is correct please p1=123 p2=12