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Unanswered Posts
linear DE
tdx/dx = 6t(e^ 2t) +x(2t-1)
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differential equation: Determine whether a member of the family can be found that satisfies the initial conditions
The given two-parameter family is a solution of the indicated differential equation on the
interval (−∞,∞). Determine whether a member of the family can be found that satisfies the
initial conditions.
y = c1e^x cos x + c2e^x sin x; y" − 2y' + 2y = 0,
i. y(0) = 1, y'(π) = 0
ii. y(0) = 1, y(π) = −1
A solid shaft made from copper is 90mm diameter and 8m long
A solid shaft made from copper is 90mm diameter and 8m long. If this shaft is joined to a 1.5m long solid steel shaft and 120mm diameter, estimate the maximum shear stress in each material and the total angle of twist of the entire shaft, if a torque of 20KN-m is applied to each end of shaft. GC=40GN/m2 G=90GN/m2
DYNAMICS
A balloon rises from the ground with a constant acceleration of 4ft per sec^2. Five seconds later, a stone is thrown vertically up from the launching site. What must be the minimum initial velocity of the stone for it to just touch the balloon? Note that the balloon and stone have the same velocity at contact.
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First Order Differential Equation
find the general solution
2y ln y dx - x (1 + 2x ln y) dy = 0
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DE
xy' = y + 2 √xy
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Reference Books for "Strength of Materials" or "Mechanics of Materials"
What reference books used by this site? I know that it's Singer, right, but what edition? Thanks. Your reply is highly appreciated.
Minimum amount of money that must be spent before three gumballs of the same color are dispense
A vending machine dispenses gumballs in a regular repeating cycle of ten different colors. If a quarter buys 3 gumballs, what is the minimum amount of money that must be spent before three gumballs of the same color are dispense?
Acceleration of Riged body (flyweight) with forces
I have a flyweight that rotates about a pin in a cvt clutch.
the flyweight gets its motion from centrifugal force that acts on the center of gravity on the object. i am trying to develop the acceleration equation using kinamatics but am a little rusty. i have developed the force equations but would like help with the acceleration.
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