Engineering Mechanical Engineering Mechanical Engineering questions and answers Problem 1 A thin rectangular plate 0 sxsa, Osy sb, has the following boundary conditions: x=0, 0

2 V=- (0 sxsa) qx (6a2 – 4ax + x²) 24 ET qx (3a? - Bax + x) .6EI Ka tood v' (0 sxsa) qa qa V=- (4x -a) 24 EI v' = (a sxsL) 6EI *x = a: y = V=-9a 8E1 qa (4L -a) 24EI 6EI ga 6ET 3 9 gbr?

Math Advanced Math Advanced Math questions and answers Consider the function f (x) = x (a - x) for 0 sxsa and zero outside that range (x<0 and x > a). Calculate the integral 1-S dx \f (x)2 . ac a. 3 a 잃 10 b. 1 = a5 30 C. 1 = 24 d. - 25 ° = x/25 If the result of problem (1) had been 1 (one), then we would say that the function f (x) is ...

Question: Given f (x, y, z) = x and E = { (x, y, z)| – a sxsa, -va2 – x2 sys Vaz – x2,0 szSa+ Va? – x2 – yż}, convert the integral i f (x, y, z)dV into cylindrical coordinates and evaluate it.

1) A particle of mass m is confined to a one-dimensional region defined by 0 sxsa. The confining potential has the shape of an infinite square well.

Engineering Mechanical Engineering Mechanical Engineering questions and answers 2. A beam existing in the domain 0 sxsa and -b/2 sy s b/2 (beam thickness t into the page) has an applied force F and moment M acting at x-0. (Fig 2) 2 Fig 2.

Question: Consider the 2-D rectangular region 0 sxsa, 0 s y s b that has an initial uniform temperature F (xy). For t > 0, the region is subjected to the following boundary conditions: the boundary surfaces at y=0 andy-b are maintained at a prescribed temperature Too, the boundary at x-0 dissipates heat by convection into a medium with fluid ...

Question: x+ a 6. Consider a rv with cdf F (x)= -a sxsa Find the expected value and variance 2a of the distribution if the 60th percentile is 6.6.

Math Calculus Calculus questions and answers Use geometry or symmetry, or both, to evaluate the double integral. SI (5x + 7y)dA, D is the rectangle 0 sxsa, o sy sb

Science Advanced Physics Advanced Physics questions and answers can be synthesized by a harmonic series of sinusoidal [0, otherwise 3. f (x) = 1,0 SXsa Žb, sin n DC waves: Please calculate b.. (15%) a