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A certain type of "governor" consists of a pair of 200g spheres hung from two 10.0 cm rods, which roate about the axle of the motor that is to be governed (speed controlled) inside a cylinder. The rods are hung so that they swing out as the axle spins faster until they contact the cylinder and slow the axle due to the friction between the two spheres and the cylinder. The spheres contact the cylinder when the angle between the rods and the axle is 45 degrees.
a. What is the minimum rate of rotation, in revolutions per minute, required for the spheres to contact the cylinder wall?
b. If the coefficient of kinetic energy between the spheres and the wall is 0.35, what power is dissipated as a result of the spheres rubbing against the walls when the axle is rotating at 300 rev/min?
An inventor claims to have devised a cyclic engine which exchanges heat with reservoirs at 300 K and 540 K, and which can produce 450 J of work per 1000 J of heat extracted from the hot reservoir. Is his claim feasible.
A box of books weighing 397 N is shoved across the floor by a force of 543 N exerted downward at an angle of 37 degrees below the horizontal.
A car is driven 125.0 km west and then 65.0 km southwest. What is the displacement of the car from the point of origin (magnitude and direction).
suppose that O&M costs (staff, maintenance, decommissioning, waste handling, training, refurbishment reserve and other charges) can be approximated by 12% of the debt charge and the fuel costs for the ACR's enriched fuel is about 3 percent of the deb..
The brakes are applied to a car traveling on a dry, level highway. A typical value for the magnitude of the car's acceleration is 5.45 m/s2. If the car's initial speed is 33 m/s, how long does it takes to stop and how far does it travel, starting ..
Rubber stopper attached to one end of the string and 100 g mass attached to the other end. A student gets the rubber stopper going in a horizontal circle above her head.
You may also assume that v_0 gg sqrt{2gL}, so that the change in hammer's gravitational potential energy, as it drives the nail into the block, is insignificant.
Make a drawing of this situation, and choose the best axes for x and y so that you have the least number of components.)
Find the speed of the car when brakes were applied.
A 1000 kg aircraft going 25 m/s collides with a 1500 kg aircraft that is parked and they stick together after the collision and are going 10 m/s after the collision. If they skid for 5.4 seconds before stopping, how far did they skid?
If 3.43×10^8 electrons flow through the ground wire to Earth and the ground wire is then removed, what is the net charge on the electroscope.
A 38 ohm resistor is made from a coil of copper wire whose total mass is 11.2 g. Find out the length and diameter of the wire.
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