pai (acp655)  Homework 13  orin  (58140) This printout should have 10 questions. Multiplechoice questions may continue on the next column or...
Problem #6
Four particles with masses 6 kg, 6 kg, 3 kg,
and 4 kg are connected by rigid rods of neg
ligible mass as shown. The origin is centered
on the mass in the lowerleft corner. The
rectangle is 7 m wide and 4 m long.
If the system rotates in the xy plane about
the z axis (origin, O) with an angular speed
of 6 rad/s, calculate the moment of inertia of
the system about the z axis.
Answer in units of kg · m2.
pai (acp655) – Homework 13 – forin – (58140)1This printout should have 10 questions.Multiplechoice questions may continue onthe next column or page – Fnd all choicesbe±ore answering.00110.0 pointsThe speed o± a moving bullet can be determined by allowing the bullet to pass throughtwo rotating paper disks mounted a distance75 cm apart on the same axle.²rom theangular displacement 23.2◦o± the two bullet holes in the disks and the rotational speed1288 rev/min o± the disks, we can determinethe speed o± the bullet.23.2◦v1288 rev/min75 cmWhat is the speed o± the bullet?Answer in units o± m/s.00210.0 pointsA bug is on the rim o± a 78 rev/min, 12 in.diameter record. The record moves ±rom restto its Fnal angular speed in 2.79 s.²ind the bug’s centripetal acceleration 1.5 sa±ter the bug starts ±rom rest. (1 in = 2.54cm).Answer in units o± m/s2.00310.0 pointsA small wheel o± radius 2.2 cm drives a largewheel o± radius 12.9 cm by having their circum±erences pressed together.I± the small wheel turns at 541 rad/s, how±ast does the larger one turn?Answer in units o± rad/s.00410.0 pointsThe angular position o± an object that rotatesabout a Fxed axis is given byθ(t) =θ0eβt,whereβ= 2 s−1,θ0= 0.8 rad, andtis inseconds.What is the magnitude o± the total linearacceleration att= 0 o± a point on the objectthat is 12 cm ±rom the axis?Answer in units o± cm/s2.00510.0 pointsTwo balls o± equal mass at the bottom o± anincline are rolled upward without slipping atthe same initial velocity. One ball is solid andthe other is a thinwalled hollow ball.Which rolls higher up the incline be±orecoming to a stop?1.The solid ball.2.Both will roll to the same height.3.Depends on the relative diameters o± theballs.4.The hollow ball.006(part 1 o± 2) 10.0 points²our particles with masses 6 kg, 6 kg, 3 kg,and 4 kg are connected by rigid rods o± negligible mass as shown. The origin is centeredon the mass in the lowerright corner. Therectangle is 7 m wide and 4 m long.xy6 rad/s4 m7 m6 kg6 kg3 kg4 kgI± the system rotates in thexyplane aboutthezaxis (origin,O) with an angular speedo± 6 rad/s, calculate the moment o± inertia o±the system about thezaxis.Answer in units o± kg·m2.007(part 2 o± 2) 10.0 points²ind the rotational energy o± the system.Answer in units o± J.
pai (acp655) – Homework 13 – forin – (58140)200810.0 pointsA pendulum is made oF a rod oF mass 3.1 kgand length 3.1 m whose moment oF inertiaabout its center oF mass is112M L2and athin cylindrical disk oF mass 1.7 kg and radius 1.1 m whose moment oF inertia about itscenter oF mass is12M R2.3.1 m1.1 m3.1 kg1.7 kgωWhat is the moment oF inertia oF the pendulum about the pivot point?Answer in units oF kg·m2.00910.0 pointsA circular disk with moment oF inertia12mR2, massmand radiusRis mountedat its center, about which it can rotate Freely.A light cord wrapped around it supports aweightmg.RIωmTg±ind the total kinetic energy oF the systemwhen the weight is moving at a speedv.1.K=23mv22.K=45mv23.K=13mv24.K=54mv25.K=12mv26.K=32mv27.K=52mv28.K=mv29.K=34mv201010.0 pointsA uniForm solid disk oF radius 1.87 m andmass 71 kg is Free to rotate on a Frictionlesspivot through a point on its rim.1.87 mPivotIF the disk is released From rest in theposition shown by the solid circle, what isthe speed oF its center oF mass when thedisk reaches the position indicated by thedashed circle?The acceleration oF gravityis 9.8 m/s2.Answer in units oF m/s.
Course Hero has all the homework and study help you need to succeed! We’ve got coursespecific notes, study guides, and practice tests along with expert tutors.

Educational Resources

Study Documents
Find the best study resources around, tagged to your specific courses. Share your own to gain free Course Hero access.
Get oneonone homework help from our expert tutors—available online 24/7. Ask your own questions or browse existing Q&A threads. Satisfaction guaranteed!