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A particle of mass m moves under the gravitational attraction of a fixed mass M situated at the origin.
Take polar coordinates r, θ as generalised coordinates and obtain Lagrange's equations. Show that θ is a cyclic coordinate and find (and identify) the conserved momentum pθ.
two blocks a and b are arranged with pulleys as shown. block a has an initial velocity t 0s to the left of va1.2 ms.
Assuming the brine has the properties of water, determine the required brine flow rate, the required effectiveness of the heat exchanger, and the required heat transfer surface area. The overall heat transfer coefficient is U 4000 W/m2.
A tension member made of 2014-T651 aluminium has a dimensions of b= 30 and t=4mm. A safety factor of 3.0 against failure by either brittle fracture or fully plastic yielding is required.
A steel bar AC of length 6in and a varying cross-section is loaded as shown in fig 1. The bar is supported by a pin joint at A. which is made of an aluminum pin of unknown diameter.
the golden gate bridge has a main span of 4200 ft a sag of 470 ft and a total static loading of 21300 lblinear foot.
two machines are used for filling glass bottles with a soft-drink beverage. the filling process have known standard
determine the required diameter of the balloon if it is approximated to be a sphere. Also explain why the load is to be carried below the balloon. Note the specific weigh t of air at various temperatures is available in the Appendix E.
a cylindrical aluminum specimen having an original diameter of 12.8 mm 0.505 in. and gauge length of 50.80 mm 2.000 in.
Derive a relationship for the efficiency of a parabolic collector with a receiver/absorber tube corresponding to the reference case in Figure 8.18 as a function of insolation and temperature difference between the collector surface and ambient.
How would the answer change if the collector were redesigned to focus the incoming solar radiation to enhance the maximum temperatures to 400°C.
A helical compression spring made from hard drawn wire needs to be designed to fit inside a 50mm cylindrical cavity and there must be enough space inside the coils for a 20mm cylindrical guide rod.
aan 8-inch pitch diameter steel gear 3 inches thick face width is pressed onto a 2 inch diameter steel shafte30000000
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