1 - Woodstown



Rotational Motion Test v2AP 1PSI PhysicsName____________________________________Multiple Choice– Choose the correct answer for each question. No partial credit will be given.Questions 1-3: A solid cylinder rotates with constant angular acceleration about a fixed axis. The cylinder’s moment of inertia (I) about the axis is 5.0 kg-m2. At time t = 0 s, the cylinder is at rest. At time, t = 2.0 s, its angular velocity is 1.0 rad/s.What is the angular acceleration of the cylinder between t = 0 s and t = 2 s?0.5 rad/s21.0 rad/s22.0 rad/s24.0 rad/s2What is the angular momentum of the cylinder at t = 2 s?3.0 kg-m2/s4.0 kg-m2/s 5.0 kg-m2/s It cannot be determined without knowing the radius of the cylinder.What is the rotational kinetic energy of the cylinder at t = 2 s?2.0 J 2.5 J5.0 JIt cannot be determined without knowing the radius of the cylinder.A force of magnitude, F is applied to a doorknob and a second force of magnitude, 2F is applied to the same door at the middle of the door. Both forces are perpendicular to the door plane. Which of the following is the correct ratio between the torque of the first force and the torque of the second force?1:2 1:12:14:1The Earth moves around the Sun in an elliptical orbit. The Earth’s linear velocity increases as it approaches its closest point to the sun. Which of the following does not change in the Earth – Sun system during the orbit?Orbital radius.Kinetic energy.Potential energy.Angular momentum.Questions 6-7:-24828547625A solid disc with a radius, R, rotates at a constant rate, ω. Which of the points on the above diagram have the greatest angular displacement?ABCPoints A, B and C have the same angular displacement.A solid disc with a radius, R, rotates at a constant rate, ω. Which of the following equals the period of the rotation?2πωω/2π2π/ω2ωA solid cylinder of mass, M and radius, R, whose moment of inertia about its center is 12MR2, rolls without slipping along a level surface at a speed, v. It then encounters an incline and rolls up the incline. What is the maximum vertical height it will reach on the incline? v24gv22g3v24g3v22gA physics class performs an experiment to determine the winner of a race. An empty can, a solid cylindrical battery and a marble roll, all with the same radius) without slipping down an inclined plane of vertical height H (they are all released at the same height). A box slides without friction on another inclined plane of the same height, H. Which object reaches the bottom of the incline first?Empty can.Marble.Box.Battery.An object accelerates, from rest, at a constant rate, α in a circular path with radius, R. The radius sweeps through an angle, θ after time, t. Which of the following represents the angular velocity as a function of θ?2θα 2θα2θα2θαMulti-Correct: For each of the questions or incomplete statements below, two of the suggested answers will be correct. For each of these questions, you must select both correct choices to earn credit. No partial credit will be earned if only one correct choice is selected. Select the two that are best in each case and then enter both of the appropriate letters in the corresponding space on the answer sheet.When a spinning skater extends his arms from his side, to pointing straight out, his angular rotation decreases (he spins slower). Why?A) The ice exerts a greater torque on his skates.B) His moment of inertia increases.C) His moment of inertia decreases.D) There are no external torques on the skater.A solid sphere rolling without slipping down an incline has:A) rotational kinetic energy.B) constant angular momentum.C) zero external torques.D) translational kinetic energy.389953599695Free Response - Solve this problem, showing all work. Partial credit may be given.-333375161925A uniform solid cylinder of mass M and radius R is mounted on frictionless bearings about a fixed axis through the center of the cylinder. The moment of inertia of the cylinder about the axis is ?MR2. A block of mass m, suspended by a cord wrapped around the cylinder as shown to the right, is released. State all answers (aside from part b) in terms of M, m, R, and g.00A uniform solid cylinder of mass M and radius R is mounted on frictionless bearings about a fixed axis through the center of the cylinder. The moment of inertia of the cylinder about the axis is ?MR2. A block of mass m, suspended by a cord wrapped around the cylinder as shown to the right, is released. State all answers (aside from part b) in terms of M, m, R, and g.On the diagrams below, draw and label all the forces acting on the block and the pulley.2573655158115 725805152400Use the free body diagrams to write each of the following:The equation of translational motion for the block.The analogous equation for the rotational motion of the pulley.Solve the equations in part b for the acceleration of the block.Determine the tension force in the segment of the cord attached to the block.Determine the angular momentum of the cylinder as a function of time.Rotational Motion Test v2ANSWER KEYAP 1PSI PhysicsWeight 50% Multiple Choice, 50% Free ResponseMultiple Choice 1 point each, 12 points total ACBBDDCCCDB, D A, DFree Response – 15 points total4 points2 pointsΣF=mamg-FT=ma2 pointsΣτ=IαRFT=MR22αFT=Ma22 pointsmg-Ma2=maa=2mgM+2m2 pointsFT=Ma2=M22mgM+2m=MmgM+2m3 pointsL=Iω=Iαt=MR22aRt=MRa2t=MR22mgM+2mt=MmRgM+2mt ................
................

In order to avoid copyright disputes, this page is only a partial summary.

Google Online Preview   Download