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General rigid pendulum A rigid body of general shape has mass M and can rotate freely about a fixed horizontal axis. The centre of mass of the body is distance h from the rotation axis, and the moment of inertia of the body about the rotation axis is I. Show that the period of small oscillations of the body about the downward equilibrium position is
2π(1/Mgh)1/2
Deduce the period of small oscillations of a uniform rod of length 2a, pivoted about a horizontal axis perpendicular to the rod and distance b from its centre.
Starting from the energy equation and using the one-dimensional heat conduction derivation as an example
For the process where q= 62.5 kj/kg and wkcs= 60 kj/kg determine the energy change if the system mass is 2 kg.
Consider a spherical shell of radius r and thickness t. Assuming Young’s modulus E to be known, nd the change in the volume of the shell due to internal pressure p. Find the change in the volume of the cylindrical vessel of radius r, length l and thi..
consider a house with inside air temperature of 22 degc. one of the walls of the house has three single-pane glass
Irrigation system
an insulation system is to be selected for a furnace wall at l000degc using first a layer of mineral wool blocks
You can transform a long bar of stainless steel from an initial 1 inch in diameter to 0.9 inches in diameter by either machining or by drawing. Compare quantitatively the amount of work needed in these two cases.
A Rankine cycle with superheat is to be designed using water as the working fluid. The boiler pressure will be 1000 psia and the peak temperature will be 900 °F. (a) Determine the temperature required for the condenser if the expansion through the t..
liquid propane is commonly used as a fuel for heating homes powering vehicles such as forklifts and filling portable
argon enters a compressor at steady state flow rate of 1 kgs with pressure p11 bar and temperature t127c and exits at a
consider an ideal combined cycle with compression ratio of 71 in which air enters the compressor at 295 k enters the
what is the actual mechanical advantage of the system?
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