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Consider a conical pendulum; that is a ball of mass m at the end of a string of length li moving in a horizontal circle and making an angle of θi with vertical. Imagine the string can be shortened or lengthened by pulling the string through a hole, as discussed in class. The variable r is the radius of the circle the ball moves in.
(a) Find equations for r(θ), period(θ), v(θ), tension(θ), ω(θ), and l(θ). These equations should contain only known quantities and θ as variables (plus of course the other variable, such as r, period, etc.).
(b) Which quantities are large as θ approaches 90°? Which quantities are large as θ approaches 0°?
an agitation system is to be designed for a fluid having a density of 950kgm3 and viscosity of 0.005pas. the vessel
an fcc iron-carbon alloy initially containing 0.20 wt c is carburized at an elevated temperature and in an atmosphere
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if the bar has clockwise angular velocity of 10 rad/s and Va= 20m/s what are coordinates of instantaneous center of the bar, and what is the value of Vb?
Cracks propagate when the stress intensity factor exceeds a critical value and describe the fracture behaviour of the insulation tape loaded with a small crack.
Plot the lift and drag forces exerted on an airfoil as a function of velocity. Use velocity values going from 0 to 45 m/s on a log-linear plot (log-scale on the y axis).
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Now suppose the mean time to failure (mf) on the expose machine is 60 hours and the repair time is exponentially distributed with a mean of 2 hours (mr). What are the effective mean and CV of the process time for a job of 60 panels?
If the peak pressure and peak temperature of the cycle are 4.8 MPa and 2500, determine the net work done per cycle (kJ/kg) and the cycle thermal efficiency .
Two infinite parallel plates are separated by a distance h. The space between them is filled with a Newtonian fluid: density (rho), viscosity (mu). The lower plate is fixed
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