Mechanical Engineering Answers

Calculate the forces in members BE and BD of the loaded truss. The forces are positive if in tension, negative if in compression. Assume F = 4.4 kN, a = 2.3 m, b = 3 m, c = 2 m, and d = 2 m.

Using Lagrange’s method of undetermined multipliers, show that the partition function for a canonical ensemble is

At what approximate altitude would a 1-cm3 sample of air exhibit 1% fluctuations in internal energy? Use data from the US Standard Atmosphere (see engineering-toolbox.com).

At what approximate altitude would a 1-cm3 sample of air exhibit 1% fluctuations in internal energy? Use data from the US Standard Atmosphere (see engineering-toolbox.com).

A consumer organisation and the manufacturer of a certain brand of margarine are in dispute. The manufacturer states that his packs of margarine contain at least 250g of margarine whereas the consumer organisation claims that the content is at most 249g. A judge has to decide the issue. The judge decides to base her judgement on a random sample of ten packs of margarine.  The consumer organisation will be adjudged to be right if the random sample has a mean weight of less than 249:5g.  The manufacturer will be adjudged to be right if this mean weight is at least 249:5g. 4 STA4820/002/0/2021 The starting point for the judge is that he assumes a normal distribution with mean  and variance 4, that is, n .; 4/ to be a good model for the weight X of a pack of margarine of that brand. Below, X denotes the mean weight (in grams) of the ten packs of margarine.

A rigid vessel of volume 1m^3

A particle P is moving along a straight line AB with its initial velocity 3 m/sec when

started from point A and with acceleration of 1.5 m/sec 2 . Another particle Q starts from

point A with velocity of 11.4 m/sec and acceleration of 1.2 m/sec 2 , 3 seconds after P has

left the point A. (a) determine the distance from point A when Q will overtake P, (b)

Further show that once Q will overtake P, Q will never be ahead of P by more than 9.6

m.