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A heavy uniform rope of mass M and length 4a has one end connected to a fixed point on a smooth horizontal table by light elastic spring of natural length a and modulus ½ Mg, while the other end hangs down over the edge of the table.
When the spring has its natural length, the free end of the rope hangs a distance a vertically below the level of the table top. The system is released from rest in this position. Show that the free end of the rope executes simple harmonic motion, and find its period and amplitude.
A centrifugal compressor has an impeller tip speed of 366 m/s. Determine the absolute Mach number of the flow leaving the radial vanes of the impeller when the radial component of the velocity at impeller exit is 30.5 m/s and the slip factor is .9. G..
A vertical trapezoidal gate that is used as an automatic valve is held shut by two springs attached to hinges located along edge AB. Knowing that each spring exerts a couple of magnitude 1470 N ? m, determine the depth d of water for which the gat..
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Provision has to be made to disconnect the load if the battery voltage drops below 11 V. The available module has a rated voltage of 17.2 V at 25°C (15 V at 55°C) and 2.3 A at 1 kW/m2. The available battery has a rated capacity of 105 Ah at 12 V. ..
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design a chain drive for a steam turbine driving a centrifugal pump. the input speed is 2200 rpm and output is around
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a collar having a mass of 0.75 kg and negligible size slides over the surface of a horizontal circular rod for which
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