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A tetrahedral is attached to a swivel in the ceiling by a light cord of length L. When the ball is hit by a paddle, it swings in a horizontal circle by constant speed v, and the cord makes a constant angle β with the vertical direction. The ball goes during one revolution in time T. Assuming that T, the mass m, and the length L, of the rope are known; derive algebraic expressions for the tension F2 in the cord and the angle β.
a thin rod of length 2b and mass m is suspended by its two ends with two identical vertical springs force constant k
At time zero, an object is thrown upward at a speed of 14.0 m/s from the top of a 91.0 m tall building. What time is it when the object hits the ground
Two parallel plates, each with an area of 90.0cm^2 , are given equal and opposite charges of magnitude 0.200 uC. What is the dielectric constant
What is the ideal banking angle for a gentle turn of 1.80 km radius on a highway with a 110 km/h speed limit (about 68 mph), assuming everyone travels at the limit
A merry-go-round starts from rest and reaches the angular speed of 4 rpm in the first two minutes. What would be the angular acceleration of the merry-go-round
You've been given the task of designing a "water couch"-that one could lie on, floating on a lake, for instance-in the form of a flat rectangular slab made of Styrofoam with a density of 85 kg/m 3. Explain why he will not be able to breathe that wa..
Two ice-skaters, whose masses are 45 kg and 75 kg, hold hands and rotate about a vertical axis that passes between them, Find the angular momentum of the system about it's center of mass
An engine absorbs 1.69 kJ from a hot reservoir at 277°C and expels 1.22 kJ to a cold reservoir at 27°C in each cycle. (a) What is the engine's efficiency? % (b) How much work is done by the engine in each cycle? J (c) What is the power output of the ..
in the large hadron collider lhc located at cern in france and switzerland protons move in a circle of radius 4.96km.
Workers pushing a 180 kg trunk across a level floor encounter a 10m long region where the floor becomes increasingly rough; How much work does it take to push the trunk at constant speed across the region
when mass m is at the position shown it is sliding down the inclined part of a slide at a speed of 2.27 ms. the mass
In outer space, a constant net force of magnitude 140N is exerted on a 30.4kg probe initially at rest. What acceleration does this force produce in m/s2
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