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1.) a= n²/2s
2.) n/a = w/m
If a ship is moving northwest at 15knots and a second ship is moving due east at 7knots, determine the direction and magnitude of the second ship relative to the first
deflected by 3 mm when used as a beam supported at its ends, 1
m apart, and subjected to a central load of 170 N. Find the
buckling load when the pipe is used as a column with hinged
ends. What is the maximum lateral deflection of this column
before the material attains the yield stress of 250N/mm2?
at the beginning of the blade as shown in figure below. Calculate the magnitude
of the force generated by water on the blade when the velocity of water jet
leaving the blade is 30 m/s due to friction.
3.5 m/s. If the axis of the pipe turns through 46⁰, calculate the magnitude and
the direction of the resultant force at the bend
A critically damped, driven oscillator’s displacement x(t) satisfies the equation of motion
x¨ + 2ω0x˙ + ω
0^2x = f0 cos ωt
(1)
where ω0 is the natural frequency, and ω is the “driving frequency”.
(i) Find the particular solution to the above equation, in the form xp(t) = A cos(ωt + φ).
Your answer should clearly give the expressions for A and φ.
(ii) The homogeneous equation ¨x + 2ω0x˙ +ω0^2x = 0 has e^−ω0t as one solution. Show, by substitution, that the function te^−βt can be the second solution. Find β in terms of ω0.
(iii) Use the above results to construct the complete solution to Eq. 1, subject to the initial conditions x(0) = 0 = ˙x(0).
building.
A fluid of constant density flows at the rate of 15 liters/sec along a pipe AB of 100 mm diameter. This pipe branches at B into two pipes BC and BD each of 25 mm diameter and a third pipe BE of 50 mm diameter. The flow rates are such that the flow through BC is three times the flow rate through BE and the velocity through BD is 4 m/s. Find the flow rates in the three branches BC, BD, and BE and the velocities in pipes AB, BC, and BE.
#340153 on Dec 2023