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One end of a straight rod is fixed at a point O on a smooth horizontal table and the rod is made to rotate around O with constant angular speed Ω. A uniform circular disk of radius a lies flat on the table and can slide freely upon it. The disc remains in contact with the rod at all times and is constrained to roll along the rod.
Initially, the disk is at rest (relative to the rod) with its point of contact at a distance a from O. Find the displacement of the disk as a function of the time.
A pump is employed to deliver liquid water from a pond to a higher elevation. The pump steadily draws water from the pond at a volumetric flow rate of 192 gal/min through a pipe having a 7 in diameter inlet. The exit diameter of the pipe is 2 in. and..
a gate having the cross section shown in fig. below closes an opening 5 ft wide and 9 ft high in a water reservoir. the
The string winds itself around the cylinder and eventually the particle strikes the cylinder and sticks to it. Find the final angular speed of the cylinder.
Liquid water is fed to a boiler at 24ºC and 10 bar is converted at constant pressure to saturated steam. Use the steam tables to calculate H (kJ/kg) for this process, and then calculate the heat input required to produce 15,000 m3/h of steam at the e..
Determine the angular velocity of the two 10-kg rods in Fig. 2 when , if they are released from rest in the position . Neglect friction.
suppose that a nuclear plant generates heat in the amount of 2 x 107 j from its fuel rods at a temperature of 1200c and
If the flexural modulus is 6.9 GPa, determine the minimum distance between the supports. Will the polymer fracture if its flexural strength is 85 MPa? Assume that no plastic deformation occurs.
A 1200 kg car is travelling at a high rate of speed (V0) as it reaches the summit of a small hill that can be approximated by the equation y=1.25sin(0.3x)+cos (0.07x)-5 from x= 0 to 50m. At the summit of the hill a deer runs in front of the car, and ..
Assume an infinite life for the laboratory and determine how much money may be used for its construction.
A mass of 2.5kg are hung vertically from a spring of stifness 5.4kN/m, calculate the maximum amplitude of vibration if the mass is not to jump off the hook.
Refrigerant 134a flows at steady state through a horizontal tube having an inside diameter of .05 m. The refrigerant enters the tube with a quality of .1, temperature of 36 C, and velocity of 10 m/s. The refrigerant exits the tube at 9 bar as a satur..
a pan of negligible mass is attached to two identical springs of stiffness k 250 nm. if a 10-kg box is dropped from a
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