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The rotor (flywheel) of a toy gyroscope has mass 0.140 kg. Its moment of inertia about its axis is The mass of the frame is 0.0250 kg. The gyroscope is supported on a single pivot (Fig. E10.53) with its center of mass a horizontal distance of 4.00 cm from the pivot. The gyroscope is precessing in a horizontal plane at the rate of one revolution in 2.20 s.
(a) Find the upward force exerted by the pivot.
(b) Find the angular speed with which the rotor is spinning about its axis, expressed in
(c) Copy the diagram and draw vectors to show the angular momentum of the rotor and the torque acting on it.
A rock of mass 34 kg accidentally breaks loose from the edge of a cliff and falls straight down. The magnitude of the air resistance that opposes its downward motion is 248 N. Elucidate what is the magnitude of the acceleration of the rock?
the coefficient of static friction is 0.26. If you apply the minimum force needed to get the refrigerator to move, illustrate what will the acceleration then be?
A stone with a mass of 0.700 is attached to one end of a string 0.8 long. The string will break if its tension exceeds 65.0 . The stone is whirled in a horizontal circle on a frictionless tabletop; the other end of the string remains fixed.
A boy coasts down a hill on a sled, reaching a level surface at the bottom with the speed of 8.4 m/s. If the coefficient of friction between sled's runners and snow is 0.040.
two point charges are located on the y axis as follows: charge q1 = -1.50nC at y1 = -0.550m , and charge q2 = 4.10nC at the origin, What is the magnitude of the net force
An object moves up and down y-axis with an acceleration given as a function of time t by the expression a = A sin ω t, where A and ω are constants. What is the period of this motion.
The radius of the tires on your car is 0.33m. You drive 1400 m in a straight line. What is the angular displacement of a point on the outer rim of a tire, around the center of tire, during this trip? Suppose the tire rotates in the counter clockwise ..
A U-236 nucleus fissions directly into Xe-138 and Sr-98 without the emission of neutrons. What is the fraction of the total kinetic energy released is carried by the lighter fragment
The warm source of a Carnot cycle consists of a blast furnace operating at a temperature of 150C, calculate the net heat absorbed from the warm source
A candle is placed 16.0 cm in front of a convex mirror. When the convex mirror is replaced with a plane mirror, the image moves 7.5 cm farther away from the mirror. Find out the focal length of the convex mirror.
A 4.80 long, 600 steel beams extends horizontally from point where it has been bolted to the framework of a new building under construction. A 75 construction worker stands at the far end of beam.
A jet aircraft is flying at constant altitude. At t1 = 0 it has components of velocity vx = 150 m/s and vy = 130 m/s, What is the acceleration's magnitude and direction during this time interval
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