Already have an account? Get multiple benefits of using own account!
Login in your account..!
Remember me
Don't have an account? Create your account in less than a minutes,
Forgot password? how can I recover my password now!
Enter right registered email to receive password!
A pursuit problem: Daniel and the Lion The luckless Daniel (D) is thrown into a circular arena of radius a containing a lion (L). Initially the lion is at the centre O of the arena while Daniel is at the perimeter. Daniel's strategy is to run with his maximum speed u around the perimeter. The lion responds by running at its maximum speed U in such a way that it remains on the (moving) radius O D.
Show that r, the distance of L from O, satisfies the differential equation
r·2 = (u2/a2)((U2a2/u2) - r2).
Find r as a function of t. If U ≥ u, show that Daniel will be caught, and find how long this will take. Show that the path taken by the lion is an arc of a circle. For the special case in which U = u, sketch the path taken by the lion and find the point of capture.
In undertaking the experiments above you should not only attempt to clearly explain the underlying theory, but you should also consider any errors in your measurements. Pay particular attention to exnlainine any curve fittinf that you may do.
The lighting requirements of an industrial facility are being met by 700 40-W standard fluorescent lamps. The lamps are close to completing their service life and are to be replaced by their 34-W high-efficiency counterparts that operate on the exist..
Analyze the structure in Figure by moment distribution. Draw the shear and moment diagrams. Sketch the deflected shape.
A roller cam is used to impart a periodic motion to the base of the spring-mass system shown in Fig. 4.41. If the coefficient of friction between the mass and the surface is µ find the response of the system using the principle of superposition. D..
A long electric wire of radius r0 generates heat at rate of q'''. The surface is maintained at uniform temp of T0. Write heat equation and boundary conditions for steady state one dimensional conduction.
A fan within an insulated duct delivers moist air at the duct exit at 22°C, 60% relative humidity, and a volumetric flow rate of 0.5 m3/s. At steady state, the power input to the fan is 1.3 kW. Using the psychrometric chart, determine the tempera..
a rigid container is separated into 2 compartments by a very thin solid membrane. one side initially holds 2 m3 of air
a 2.5 pound block b is moving with a velocity v06 fts as it hits a 1.5 pound sphere a which is at rest hanging from a
Determine the Young's modulus of elasticity for the tensile test data given. Assume that the sample has a circular cross section and the diameter is 2 cm. Use some rationale or clear criteria to establish the number of points selected. (Looks good..
the wear resistance of a steel shaft is to be improved by nitrogen hardening of its surface. the initial nitrogen
water flows through the horizontal y-fitting shown in figure p3.101. if the flowrate and pressure in pipe1 are q1 2.3
carbon monoxide in a piston-cylinder device is compressed from 1 bar and 37?c to 3 bar and 147?c. the compression
Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!
whatsapp: +1-415-670-9521
Phone: +1-415-670-9521
Email: [email protected]
All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd