3. (a) Use the table method to calculate the coordinates of the centre of mass of the shape shown in Figure Q3a. Use the bottom left corner as the origin. Give your answers to three significant figures. (10 marks)
.(b) Use the calculus method to calculate the position of the centre of area, relative to the origin, of the shape enclosed by the lines x = 0, y = 0 and y = cos x between x = 0 and x = 1, in the following directions: i. the x-direction; (4 marks) ii. the y-direction. (6 marks) Give your answers to three significant figures
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3. (a) Use the table method to calculate the coordinates of the centre of mass of the shape shown in Figure Q3a. Use the...
the hand-operated shear shown in the Figure, use the relative velocity method to determine the angular velocity of the handle required to have the blade cut through the metal at a rate of 3 mm/s. Also determine the linear velocity of point X. a) Graphically present the velocity diagrams with all the angles and dimensions shown (20 marks) b) Analytically determine the results using trigonometric functions (15 marks) 0 mm 100 mm 60 mm
please draw and solve show every thing details “” Question 3 128 Marks 2 rectangular beam shown in the figure is subjected to a fluctuating axial force. It fluctuates between 5 kN and 15 kN keeping its direction. The beam is to be machined to the dimensions shown in the figure with a transvers hole of diameter d-14 mm/ Material of the beam is AISI 1040 CD steel (S-590 stress concentration factor as 2.2. K Pa, Sy 490 MPa). Take...
A 3-m diameter roller gate retains water on both sides of a dam crest as shown below. Axes (x,y) are given in the diagram to indicate the convention for positive values. The origin of your coordinate system (O) is at the base of the roller gate where it contacts the dam. Indicate direction of Forces either with an arrow, writing the direction (ie. Right/left or up/down) or +/- sign indicating what way is positive based on the axes definition given....
Part 1:. Why the second derivative test works for extrema of functions of two variables We follow the Caleulus 1 example of making sure that the first derivative is 0. And you have seen us simply set the first two partials equal to 0: f-0 and y -0. Then we apply information about a version of the second derivative, namelyDy()in concert with the sign of Ju. Why does this work? Step 1 for this part of the explanation First, is...
Problem 12.34 Consider the frame shown in (Figure 1). Part B Use the portal method of analysis and draw the moment diagram for girder FED Click on "add vertical line off to add discontinuity lines. Then click on "add segment" button to add functions between the lines. Note 1 - Make sure you place only one vertical line at places that require a vertical line. If you inadvertently place two vertical lines at the same place, it will appear overlap,...
please help 2. Block A has a mass of 40 kg, and block B has a mass of8 kg. The coefficients of friction between all surfaces of contact are 0.2 and 4k 0.15. Determine (a) the accelerations of blocks A and B, (b) the tension in the cord, and (c) the velocities of blocks A and B after the block A has moved bv 0.5 m. Assume that initially the velocity of block A is 0 15° proach: . Isolate...
4.9 Summary of Graphing Lines Figure 19:20: Graphing y 2 and 3 Exercises Graphing by Table 1. Use a table to make a plot of y 4x+3. 2. Use a table to make a plot of y = -5x-1 Use a table to make a plot of y--:- 1. Use a ble to make a plot of y = x +3. Graphing Standard Form Equations First find the and y-intercepts of the line with equation or + 5y = -0....
PLEASE READ THIS BEFORE YOU START SOLVING: I need an explanation for Part d only. The correct answer is 4.02 m, but I don't know how to get it, thanks! No need to do parts a, b and c!! THANK YOUUUUU Free Surface A curved surface as shown in the diagram above) defined as a quarter circle with radius of length r = 18 m is submerged in a liquid with the flat edge at a distance h - 10...
Please answer this ASAP!! Moment of a Force-Vector Formulation Learning Goal To use the vector cross product to calculate the moment produced by a force or forces, about a specified point on a member The moment of a force F about the moment axis passing through O and perpendicular to the plane containing o and F can be expressed using the veotor cross product, Mo x F. n a properly constructed Cartesian coordinate system he vector cross product can be...
3 parts to this question... please help Predict/Calculate Problem 19.31 12 of 20 IP The point charges in the figure below have the following values: q1 = 1.9 C, q2 = 6.3 C, 43 = -0.91 pc. II Review Given that the distance d in the figure is 4.31 cm, find the magnitude of the net electrostatic force exerted on the point charge 91 Express your answer using two significant figures. 42 + VO AEC ? Friet = N Submit...