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A long cylindrical tube of length L, and density ?t, is very slightly weighted on one end so that it floats upright in a fluid having density ?f. Assume the tube is constant density and the slight weighting on one end is very small (negligible), with the only purpose to stablize the cylinder vertically in the fluid. It is pushed down a distance x from its equilibrium position and released.
(a) Show that it will execute simple harmonic motion if the resistive effects of the fluid are neglected, and
(b) determine the period of the oscillation in terms of L, t, and f.
One cubic centimeter of a cumulus contains 250 water drops, which have a typical radius of 10 μm. (a) How many cubic meters of water are in a cylindrical cumulus cloud of height 3.0 km and radius 1.1 km.
What is the linear speed of the phonograph needle
A 27 pound meteorite struck a car, leaving a dent 26cm deep in the trunk. If the meteorite struck the car with a speed of 620m/s, what was the magnitude of its deceleration, assuming it to be constant.
Suppose a hanging 1 kg lab mass is attached to a 4.0 kg block on the table. If the coefficient of kinectic friction, mu is 0.20, what is the acceleration of the block.
Each surface exerts a force on the bottle that is perpendicular to the surface. What is the magnitude of each of these forces.
Suppose you pour water into a container until it reaches a depth of 12 cm, What is the pressure at the bottom of the container
Sam heaves a shot with weight 16-lb straight upward, giving it a constant upward acceleration from rest of 45.5m/s2 for a height 63.0cm, What is the speed of the shot when he releases it
Illustrate what is its average acceleration during a stop from that velocity? Express your answer in m/s2. Consider the car's initial velocity to be a positive quantity.
A sports car crosses the bottom of a valley with a radius of curvature equal to 80 {rm m}. At the very bottom, the normal force on the driver is twice his weight. Evaluate at what speed is the car traveling?
A skier, weighing 453 n, is skiing down a slope that has an incline of 29 degrees above the horizontal. Compute the acceleration of the skier (coefficient of kinetic friction between the skis and snow is 0.21)
Assume the system rotates in the yz plane about the x axis with an angular speed of 2 rad/s. Find out the moment of inertia of the system about the x axis.
The reflected sound is afterwards mixed with the transmitted sound, and 85 beats per second are detected. The speed of sound in body tissue is 1520m/s. compute the speed of the fetal heart wall at the instant this measurement is made.
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