1. A disk with a rotational inertia of25 kgm2 can rotate freely…

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Question Answered step-by-step 1. A disk with a rotational inertia of25 kgm2 can rotate freely… 1. A disk with a rotational inertia of 25 kgm2 can rotate freely about its center.  A force F=10 N is acting at a distance d=0.2 m away from the center and is oriented tangent to the perimeter of the disk.  An identical force F is acting a distance 2d away from the center of the disk, and is also oriented tangent to the perimeter of the disk.a) What is the magnitude of the net torque acting on the disk?b) What is the magnitude of the disk’s angular acceleration? 2. A wheel of radius R=0.6 m rotates freely on a frictionless axle.  A force F=24 N acts on the outer edge of the wheel, tangent to the surface.  Another force of magnitude F/2 acts on the wheel a distance R/2 from the axle as shown, and is at a 90° angle to a radial vector.  As a result of these forces, the wheel has an angular acceleration with a magnitude of 3.2 rad/s2.a) What is the magnitude of the net torque acting on the wheel?b) What is the rotational inertia of the wheel? 3. You are standing on the outer edge of a merry-go-round that is initially rotating.  You walk toward the center of the merry-go-round.  Which TWO of the following statements are true?a) The angular momentum of the system decreases because the rotational inertia decreasesb) The angular momentum of the system increases because the angular speed increasesc) The angular speed increases because the rotational inertia decreasesd) The angular momentum remains constant because there are no external torques4. You are standing on the end of a long wooden board.  The wooden board is on frictionless ice.  Everything is initially at rest.  You jump off in a direction perpendicular to the length of the board as shown in the view from above.  Which TWO of the following are true?a) There are no external torques, so due to conservation of angular momentum the board rotates around its center of mass.b) The board does not rotate, only slides.c) There are no external forces, so due to conservation of linear momentum the board slides sideways.d) The board does not slide sideways, only rotates.     21. A merry-go-round has four children sitting on it.  In scenario A, all four children are close together in the center.  In scenario B, all four children are near the outer edge of the merry-go-round (see images).  The same amount of torque is applied to the merry-go-round in each scenario.  In which scenario is the merry-go-round’s angular acceleration greater?  (Check one):_____ A  _____ B  _____ They have the same angular acceleration.Explain your reasoning.6. A ball is tossed such that when it hits the ground, it is not rotating at all, but it is moving horizontally.  Initially the ball slips across the ground, but then it transitions to rolling without slipping.  The ball has a rotational inertia of 0.4 kgm2 and ends up (at the moment it begins rolling without slipping) with a rotational speed of 4 rad/s.a) Determine how much rotational kinetic energy the ball gained.b) Where did that rotational kinetic energy come from?  Science Physics PHYS 160 Share QuestionEmailCopy link Comments (0)

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