MM=80 Time : 2hrs MATLAB TEST 1) Save the plots and scope plots which you have made 2) Attempt all the questions Q 1. Following table gives the value of kinetic friction coefficient corresponding to different surfaces: Materials U Metal on metal 0.20 Wood on wood 0.35 Metal on wood 0.40 Rubber on concrete 0.70 The object is pushed on 3 different surfaces. The formula for F is F=uW. Write a Matlab program that accept as input the value of W and the three different surfaces on which the object was pushed. Compute the value of overall net force required to push the object on the three surfaces, ie sum of three different Fs? (10) Q2. The price, in dollars, of a certain stock over a l0-day period is given in the following array. Price= [ 19 18 22 21 25 19 17 21 27 29] Suppose you owned 1000 shares at the start of the 10-day period, and you bought 100 shares every day the price was below $20 and sold 100 shares every day the price was above $25. Use MATLAB to compute (a) the amount you spent in buying shares, (b) the amount you received from the sale of shares, (c) the total number of shares you own after the 10th day, and (d) the net increase in the worth of your portfolio(total money you have in term of shares) (10) Q3. A certain object has a mass of 100 kg and is acted on by a force f(t) = 500[2 - e - t sin(5t)] N. The mass is at rest at t = 0. Using functions, determine the object's velocity at t = 5 s? (10) Q4. Compute the expressions for dp 2 /dx, d(p 1 p 2 )/dx, and d(p 2 /p 1 )/dx for p 1 =3x 2 +7 and p 2 =5x 2 -6x+8 All the expressions must be described in such a form that denominator of each term must have a maximum degree of 1( ie partial fracted form)? (10) Q5. The following represents pressure samples, in pounds per square inch (psi), taken in a fuel line once every second for 10 sec. Time(sec) Pressure(psi) Time(sec) Pressure(psi) 1 26.1 6 30.6 2 27.0 7 31.1 3 28.2 8 31.3 4 29.0 9 31.0 5 29.2 10 30.5
MATLAB TEST 1) Save the plots and scope plots which you have
made 2) Attempt all the questions
Q 1. Following table gives the value of kinetic friction
coefficient corresponding to different surfaces:
Materials U Metal on metal 0.20 Wood on wood 0.35 Metal on wood
0.40 Rubber on concrete 0.70 The object is pushed on 3 different
surfaces.
The formula for F is F=uW.
Write a Matlab program that accept as input the value of W and
the three different surfaces on which the object was pushed.
Compute the value of overall net force required to push the object
on the three surfaces, ie sum of three different Fs? (10)
Q2. The price, in dollars, of a certain stock over a l0-day
period is given in the following array.
Price= [ 19 18 22 21 25 19 17 21 27 29] Suppose you owned 1000
shares at the start of the 10-day period, and you bought 100 shares
every day the price was below $20 and sold 100 shares every day the
price was above $25. Use MATLAB to compute (a) the amount you spent
in buying shares, (b) the amount you received from the sale of
shares, (c) the total number of shares you own after the 10th day,
and (d) the net increase in the worth of your portfolio(total money
you have in term of shares) (10) Q3. A certain object has a mass of
100 kg and is acted on by a force f(t) = 500[2 - e- t sin(5t)] N.
The mass is at rest at t = 0. Using functions, determine the
object's velocity at t = 5 s? (10) Q4. Compute the expressions for
dp2/dx, d(p1p2)/dx, and d(p2/p1)/dx for p1=3x2+7 and p2=5x2-6x+8
All the expressions must be described in such a form that
denominator of each term must have a maximum degree of 1( ie
partial fracted form)? (10)
Q5. The following represents pressure samples, in pounds per
square inch (psi), taken in a fuel line once every second for 10
sec. Time(sec) Pressure(psi) Time(sec) Pressure(psi) 1 26.1 6 30.6
2 27.0 7 31.1 3 28.2 8 31.3 4 29.0 9 31.0 5 29.2 10 30.5
MM=80 Time : 2hrs
a. Fit a first-degree polynomial, a second-degree polynomial,
and a third-degree polynomial to this data. Plot the curve fits
along with the data points. (5) b. Use the results from part a to
predict the pressure at t = 11 sec. Explain which curve fit gives
the most reliable prediction. Consider the coefficients of
determination and the residuals for each fit in making your
decision. (5)
Q6. Find the all the roots of tanx=x in the interval 0 to 10, by
first having a rough estimation from the plot and then using
appropriate function to get the roots? (10)
OR
Find all the minimas and maximas of the function sin(x)+cos(x)
in the interval 0 to 4. Answer should be accurate to the 4th
decimal point. (10)
Q7. The popular amusement ride known a the corkscrew has a
helical shape. The parametric equation for a circular helix are x =
a cost y = a sint z = bt where a is the radius of the helical path
and b is a constant that determines the "tightness of the path.
Obtain the three-dimensional line plot of the helix. Use 0 10 and a
= I, b=0.2. Whether, it is a right hand screw or a left hand screw.
(10) Q.8 Using Simulink to obtain the solution of the system with
the behavior equation as: 5 + 3 + 2 for the input of 5sin(t).
a) Obtain the Matlab plot in form of red dotted line also for
the same. b) Find the maxima of the solution in the range 0 to 10.
(10)
