Consider a science exhibit consisting of a wooden pole of length 1.3 m and mass 4.0 kg as shown in the figure below. The pole rotates fricionless-ly about a horizontal axis through the center. Two glass spheres of mass 4.2 and 2.1 kg are attached to the ends of the pole. After the pole is released from the horizonal position, what is its angular velocity when it swings through the vertical? O 2.0 kg 6. 1.0 m 2.0 kg 4.0 kg 4.0 kg (a) (b)
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- The platform shown in the figure below (The Merry-Go-Round) has a mass of M- 100 kg and radius R 2.0 m. Lia (m 30 kg) walks slowly from the rim of the disk toward its center. If the angular speed of the system is 2.0 rad/s when Lia is at the rim, what is the angular speed when she reaches a pointr 3- 0.5 m from the center? MA 200kg disk with a radius of 4.0m is rotating clockwise about the +y axis. A 50kg person is sitting 2.5m from the rotational axis. a) What is the total moment of inertia of the disk and person together? b) What is the initial angular momentum Li of the system? c) A constant 30.0N force is applied to the edge of the disk with an angle of 60° with respect to the moment arm. (+y out of page in top down view) What is the torque on the system? d) What is the final angular momentum if the torque is applied for 2s?Two identical spheres with m 3 kg each are rigidly attached to the rotating light rigid structure. The velocity of the spheres is v = 2 m/s. Determine the angular momentum about the axis of rotation. 5 13 0.3 m 0.2 m m' H, = 7.20 kg · O H, 1.80 kg· m2 %3D O H. 3.60 kg. m' H. = 6.00 kg .
- F3In orbit mechanics, the angular momentum is also an important quantity governing the satellite's motion. Assume planar motion, a satellite is orbiting around Earth center within a fixed plane. Thus it's motion is completely described by the distance r and the angle (relative to some reference direction). êo 0 (center of Earth) êr PO.. P (satellite) satellite's trajectory Obtain the satellite's angular momentum with respect to Earth center. For spacecrafts, the angular momentum (h) is h = Fx, it is independent of mass. What is the magnitude of h?You throw a ball of mass 0.61 kg with speed 7.7 m/s at a cylinder of radius 0.22 m as shown. Theball hits the edge of the cylinder and sticks to it, and they spin about the cylinder’s central axis.What is the magnitude of the angular momentum of the ball about the center of the cylinder asthe ball approaches the cylinder?
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