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Yo-yo with moving support A uniform circular cylinder (a yo-yo) has a light inextensible string wrapped around it so that it does not slip. The free end of the string is fastened to a support and the yo-yo moves in a vertical straight line with the straight part of the string also vertical. At the same time the support is made to move vertically having upward displacement Z(t) at time t.
Find the acceleration of the yo-yo. What happens if the system starts from rest and the support moves upwards with acceleration 2g ?
A machine tool company has a production machine with a trade in value of $10,200. The company will not keep the machine more than 3 more years. The costs associated with the machine are shown in the table below
The groundwater table is located at a depth of 12 m. The dry unit weight of sand from 0 to a depth of 12 m is 17.6 kN/m3. Assume that the mean grain size (D50) of the sand deposit to be about 0.8 mm. Estimate the variation of the relative density w..
A 2 cm horizontal jet of water with a velocity of 15 m/s is spraying onto a vertical plate attached to a cart moving opposite the direction of the water jet at 8 m/s. Determine the force required to keep the cart moving at a constant velocity.
there are two connected spur gears attached to a fixed board at points a and b. the assumptions of the system are that
Discuss the impact of velocity on the state of stress during static failure analysis for a fixed position of input. Is there a practical significance behind considering the COM of the rider offset from point E? What differences do you expect to ob..
a tank with a volume of 0.142 m3 is initially evacuated. the tank develops a small hole. air from the surroundings
Design the beam (that is, determine the material, cross-sectional dimensions, and the length of the beam) such that the stress induced in the beam should not exceed the yield stress of the material under an acceleration of 0.2 g at the top of the ..
air at 2900 r 435 psia enters a turbine operating at steady state and expands adiabatically to the exit where the
For flow of viscous fluids through a 5 cm diameter pipe, for what flow rate in m3/h would we expect transition to turbulence?
Explain the principle of operation of an AB encoder and how this is used to read an optical encoder. Draw a diagram of the essential features of an optical encoder.
solution the slider a has a mass of 2kg and moves in a slot in a vertical sliding plate. i what horizontal acceleration
hydrogen h2 at 77 c 4bar enters an insulated chamber at steady state where it mixes with nitrogen n2 entering as a
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