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A horizontal plank of mass m and length L is pivoted at one end. The plank's other end is supported by a spring of force constant k. The moment of inertia of the plank about the pivot is . The plank is displaced by a small angle from its horizontal equilibrium position and released. (a) Show that it moves with simple harmonic motion with an angular frequency = 3k/m . (b) Evaluate the frequency if the mass is 5.00 kg and the spring has a force constant of 100 N/m.
What are the x- and y-components of the electric field at (x, y) = (0 m, +4 m)? (a)Two charges are placed on the x-axis: one is placed at x = 3 m and the other is at x = -3 m.
Find the boundary layer thickness and drag on a given plate if Water at 15°C flows over a plate 2m long and 25cm wide at a velocity of 5 m/s along its length.
A 5kg steel ball strikes a wall with a speed of 8m/s at an angle of 60.0° with the surface. It bounces off with the similar speed and angle. If the ball is in contact with the wall for 0.200 s, what is the average force exerted by the wall on the ..
Two conductors are joined by a long copper wire. Thus A) each conductor must be at the same potential. B) no free charge can be present on either conductor. C) each conductor carries the same free charge.
assume that for the couple in, you were told that the girl's mass was two-thirds that of the boy. The boy has a velocity of v = +0.61 m/s. What would be the girl's velocity in this case.
A standardized biological microscope has an 8.0--focal-length objective. What focal-length eyepiece should be used to achieve a total magnification of.
find the coefficient of kinetic friction between skis and snow.Three equal point charges, each with charge 1.80 mu C, are placed at the vertices of an equilateral triangle whose sides are of length 0.500 m. What is the electric potential energy U o..
Two small beads having positive charges 18q 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, a third small charged bead is free to slide on t..
A 260 wooden raft floats on a lake. When an 80 man stands on the raft, it sinks 5.0 deeper into the water. When he steps off, the raft vibrates for a while. What is the frequency of vibration.
A 21 g bullet travelling at 255 m/s is fired into a 0.452 kg wooden block anchored to a 100 N/m spring. How far is spring compressed to the nearest thousandth of a meter.
The largest apple pie ever made was rectangular in shape and had an area of 7m× 12m. Consider a parallel-plate capacitor with this area. Imagine that the capacitor is filled with air and the distance between the plates is 1mm. a.
Conclude the magnitude and directional angle
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