# UTHW07 - xu(xx638 Homework 7 nevils(77401 This print-out...

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xu (xx638) – Homework 7 – nevils – (77401) 1 This print-out should have 24 questions. Multiple-choice questions may continue on the next column or page – find all choices before answering. 001 10.0 points A uniform flat plate of metal with a circular hole is situated in the reference frame shown in the figure below. 10 8 6 4 2 0 2 4 6 8 10 10 8 6 4 2 0 2 4 6 8 10 Calculate the x -coordinate of the center of mass x cm of the metal plate. 002 (part 1 of 2) 10.0 points A lawn roller of mass M , radius R and rota- tional inertia I CM = κ M R 2 about its center of mass is being pushed across a level lawn by a constant force vector F applied parallel to the handle, which makes an angle θ with the hor- izontal. The roller rolls without slipping. vector F θ What is the acceleration of the lawn roller? 1. a = F cos θ M 2. a = κ F cos θ ( κ + 1) M 3. None of these 4. a = F cos θ κ M 5. a = κ F cos θ M 6. a = F M 7. a = ( κ 1) F cos θ M 8. a = F cos θ ( κ + 1) M 003 (part 2 of 2) 10.0 points What is the force of static friction acting on the lawn roller as it accelerates? 1. f s = κ F cos θ κ + 1 2. f s = κ F cos θ 3. f s = F cos θ κ + 1 4. f s = F cos θ κ 5. f s = κ F cos θ 6. None of these 7. f s = ( κ 1) F cos θ 8. f s = F cos θ 004 10.0 points A force vector F is applied to a dumbbell for a time interval Δ t , in case P at the center of mass of the dumbbell, and in case Q at one end of the dumbbell. vector F P vector F Q In which case is the resulting final center- of-mass velocity of the dumbbell greater? vector F

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xu (xx638) – Homework 7 – nevils – (77401) 2 is the only force acting. 1. It is impossible to answer unless we know specifically how I CM differs from I about the axis through the upper end of the dumb- bell. 2. vectorv CM is the same in both cases. 3. case P 4. case Q 005 10.0 points A uniform flat plate of metal is situated in the reference frame shown in the figure below. 0 1 2 3 4 5 6 7 8 9 10 0 1 2 3 4 5 x y Calculate the x coordinate of the center of mass of the metal plate. 006 10.0 points A uniform flat plate of metal is situated in the reference frame shown in the figure below. 0
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