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A particle moves in the xy plane under the constraint that its velocity vector is always directed toward a point on the x axis whose abscissa is some given function of time f(t). Show that for f(t) differentiable, but otherwise arbitrary, the constraint is nonholonomic.
A long, cylindrical conductor of radius R carries a current I as shown in the figure below. The current density J, however, is not uniform over the cross-section of the conductor but is a function of the radius according to J = br3, where b is a c..
A 104-turn coil rotates 7.14 times per second. The coil has a cross-sectional area of 0.670 m2 and the magnetic field through the coils is 0.0720 T. Evaluate the maximum emf induced in the coil
A building made of concrete is gauged to be 425 m tall when it is -23°C outside. How much taller will it be when the temperature reaches 41°C? (In cm)
a circular loop of wire 14 cm in diameter is placed with its normal at an angle ? = 37° with the direction of a uniform magnetic field of magnitude B = 0.51 T, What is the emf induced in the loop
A braking force is applied to a 300kg motorcycle to reduce its speed to reduce its speed from 20.0m/s to 16.0m/s in 10.0s. find the change that has taken place in the momentum of the motorcycle
If a steel ball with half the mass of the steel ball you used in class was used, what would its initial horizontal velocity be
Consider an RC circuit in which the capacitor is beingcharged by a battery connected in the circuit. After a time equalto four time constants, what percentage ofthe final charge is present on the capacitor?
The body of a person of mass 90.0 kg contains 0.020 m3 of fat. Thedensity of human body fat is 980 kg/m3. What percentage of this person’s body weight is composed of fat?
The loaded cab of an elevator has a mass of 3.0 x 10^3 kg and moves 145 m up the shaft in 23 s at constant speed. At what average rate does the force from the cable do work on the cab.
A barge of mass 5.0 104 kg is pulled along the Erie Canal by two mules, How much work is done on the barge by both of these mules together as they pull the barge 150 m along the canal
A space probe journeys at a constant velocity from Earth to star at 22 y in a time of 4 y as measured by the probe's internal clock. How long did the trip take according to clocks on Earth
A movable piston having a mass of8.00 kg and a cross-sectional area of 5.00 cm2 traps0.230 moles of an ideal gas in avertical cylinder. how much work is done on the gas
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