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Q1. A spool of thin wire (with inner radius r = 0.50 m, outer radius R = 0.56 m, and moment of inertia Icm = 0.81 kg*m2 pivots on a shaft. The wire is pulled down by a mass M = 1.40 kg. After falling a distance D = 0.52 m, starting from rest, the mass has a speed of v = 75.400 cm/s. compute the energy lost to friction during that time.
Q2. A series of small machine components being moved by a conveyor belt passes over a 140-mm-radius idler pulley. At the instant shown, the angular velocity of the idler pulley is 5 rad/s clockwise. If the total acceleration of point B is 2400 mm/s2, what is an angular velocity of the idler pulley?
A diffraction grating with 330 {rm lines/mm} is 1.00 {rm m} in front of a screen. What is the wavelength of light whose first-order maxima will be 17.0 {rm cm} from the central maximum on the screen.
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A conveyor belt at a quarry lifts 2,000 kg of sand per minute up a vertical distance of 12 meters. The sand is at first at rest, then moves at a speed of 0.20 m/s along conveyor belt. What is the instantaneous power generated by this machine .
A steel wire of length 1.97 with circular cross section must stretch no more than 0.260 when a tensile (stretching) force of 400 is applied to each end of the wire. What is the minimum diameter necessary.
An archer puts a 0.26 kg arrow to the bowstring. An average force of 213 N is exerted to draw the string back 1.3 m. unless otherwise directed, suppose that air resistance is negligible. Illustrate energy bar graphs to solve the problem.
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Assume the charge on black hole is 5740 C. At what distance from it is the electric potential equal to 1100 V.
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It's found that string is set into oscillation only at the frequency 880 Hz and 1320 Hz as the frequency of an oscillator is varied over the range 500-1500 Hz. What is the tension in the string.
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