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The steel rod is stress-free before the
axial loads P1 = 150 kN and P2 = 90 kN
are applied to the rod. Assuming that the
walls are rigid, calculate the axial force in
each segment after the loads are applied.
Use E = 200 GPa.
The block shown is made of a magnesium alloy
for which E = 45 GPa and v = 0.35. Knowing that
𝜎x = -180 MPa, determine (a) the magnitude of 𝜎y
for which the change in the height of the block will
be zero, (b) the corresponding change in the area
of the face ABCD, (c) the corresponding change
in the volume of the block.
2
b. y = (sqrt(a) + root(2, b)) ^ pi, reca that root(4, h) = h ^ (1 / s) and use sqrt. You can also use nthroot (refe to the MATLAB help to understand the difference between nthroot and a fractional power)
4. Scalar equations. Using the variables created in 1, calculate x, y, and z.
a. x = 1/(1 + e ^ (- (a - 1S) / 6))
3. Matrix variables. Make the following variables
aMar=[ matrix 2&...&2\\ vdots& vdots& vdots\\ 2&...&2 matrix ] a 9x9 matrix full of 2^ prime 5 (use ones or zeros)
a.
b. AAtre[ matrix 1&0&.&0\\ 0&..&0&.\\ ...&.&.&.\\ .&0&...&...\\ 0&-&0&1 matrix ]. [1 2 3 4 5 4 3 2 1] on the main diagonal (use zeros, diag) 9x9 matrix of all zeros, but with the values
c. 07=[ matrix 1&11&...&91\\ 2&12&...&92\\ vdots& vdots&& vdots\\ 10&20&...&100 matrix ]a 10*10n
columns (use reshape).
dMat=[ matrix NaN&NaN&NaN\\ NaN&NaN&NaN&NaN\\ NaN&NaN&NaN matrix ], d. 3x4 NaN matrix (use nan)
e. eMat = [[13, - 1, 5] [- 22, 10, - 87]]
f. Make Mar be a 5x3 matrix of random integers with values on the range -3 to 3 (First use rand and floor or ceil. Now only use randi)
2. Vector variables. Make the following variables
a. qVec = [[3.14, 15, 9, 26]] BVec = [[271] [8] [28] [182]] b.
d. dVec=[10^ 10^ 0.01 10^ 0.99 10^ 1 ] (Logarithmically spaced numbers between 1
and 10, use logspace, make sure you get the length right!)
e. eVec=Hello(eVec is a string, which is a vector of characters)
C. c Vec=[ matrix 5&4.8&-4. matrix -5] (all the numbers from 5 to -5 in increments of -0.2)
1. A ball traveling in the +x direction hits the wall at 30m/s and rebounds at 25m/s. If the ball is in contact with the wall for 4ms, determine the average acceleration of the ball during this time interval.
2. A grasshopper is capable of jumping to a height of 5cm. Determine the takeoff speed of the grasshopper.
3. Matthew throws a soda drink bottle vertically upward to his friend, who is in a window 5m above. The bottle is caught 2s later. What was the initial velocity given to the soft drink bottle?
4. A bullet has a speed of 350m/s as it leaves a rifle. If it is fired horizontally from a cliff 6.4 m above a lake, how far does the bullet travel before striking the water?
KINEMATICS
A car is accelerating in the +x direction. At 2s the car is 100m from the starting point. After an additional 5s, it is 1.5km from the starting point.
Determine the average velocity of the car for the first 5s of its travel.
Determine the average velocity of the car for the entire period of its travel.
A steam turbine receive a steam flow of 13kg/s and the power output is 500kw calculate
a. The chance specific enthalpy across the turbine when velocity at entrance and exist and the difference in elevation negliable
b. The chance specific enthalpy when the velocity of entrance is 60m/s, The velocity of exist is 36m/s and inlet pipe is 3m above the exhausted pipe.
QUESTION 9
Find the eigenvalues of
12 0
12 1
00 4
A and an eigenvector corresponding to 0 . (9)
[9]
dielectric with a positive charge of 5 C has 18.75 × electrons added to it. What is the net charge
#339914 on Dec 2023