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A crank drive mechanism is illustrated below. A uniform linkage BC of length L connects a flywheel of radius r (rotating about fixed point A) to a piston at C that slides back and forth in a hollow shaft. A variable torque T is applied to the flywheel such that it rotates at a constant angular velocity. Show that for one full rotation of the flywheel, energy is conserved for the entire system; consisting of flywheel, linkage, and piston (assuming no friction).
Note that gravity g is acting downwards, as shown.
Even though energy is conserved for the system, why is it a good idea to make the components of the drive mechanism as light as possible (with the exception of the flywheel)?
A pyrex beaker that holds 250 ml of water at 20 degrees celcius is filled to the brim. The system is heated to 40 degrees celcius, how much water (if any) will spill out of the beaker
A coil with 25 turns of a square shape of 1.80 cm on each side. Find the magnitude and direction of the induced current in the coil
You have built a homemade skate board for your nephew out of a plank and a set of wheels. How fast was your nephew moving when his feet left the skateboard
A thin rod (length = 1.26 m) is oriented vertically, with its bottom end attached to the floor by means of a frictionless hinge. What is the magnitude of the angular acceleration of the rod
6 kg of an ideal gas is in a volume of 1 m3 at 250°C. The gas undergoes a constant pressure change of state until the temperature is 500°C. Find the pressure at the initial state
Two small beads having positive charges 25q and q are fixed at the opposite ends of a horizontal, insulating rod, extending from the origin (the location of the larger charge) to the point x = d. As in Figure P23.10, a third small charged bead is fre..
a 0.400 kg object is swung in a vertical circular path on a string 0.550 m long. if its speed is 3.60 ms at the top of
A 2.90 m long, 320 kg steel beam extends horizontally from the point where it has been bolted to the framework of the new building under construction. A 66 kg construction worker stands at the far end of the beam.
If the frequency of oscillation of the wave emitted by an FM radio stationis 93.6 MHz, determine the wave's period of vibration
A wire made of tungsten is 783 m long and has a cross-sectional area of 27.3 multiplied by 10-7m2. It is observed that 349.9 Cpass through the wire in 70.7 s. Theresistivity of tungsten is 5.6 multiplied by 10-8 Ω · m. Determine the power loss of ..
Ash "the working bee" decides to gather pollen and in her quest flies 50 meters from a beginning point at 0° along the west and finds nothing. Determine the displacement and direction of the bee
When you normally drive the freeway between Sacramento and San Francisco at an average speed of 115km/hr (71.5 mph), How much longer does the trip take on Friday
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