PHYS 218 Lecture 14 Chapter 8 – Rotation Motion Peter Anderson Office: PHYS 221 Office Hours: T, Th 11am to 12pm July 7 th, 2013.

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PHYS 218 Lecture 14 Chapter 8 – Rotation Motion Peter Anderson Office: PHYS 221 Office Hours: T, Th 11am to 12pm July 7 th, 2013

A disk can rotate about its central axis. Which of the following pairs of values for its initial and final angular positions, respectively, give a negative angular displacement: 1)-3 rad, +5 rad 2)-3 rad, -7rad 3)7 rad, -3 rad A.(1) and (2) B.(1) and (3) C.(2) and (3)

Sample Problem 1 While you are operating a Rotor you spot a passenger in acute distress and decrease the angular speed of the cylinder from 32.5rpm to 20.0 rpm in 20 revolutions, at constant angular acceleration. A)What is the constant angular acceleration during this decrease in angular speed? B)How much time did the speed decrease take?

A cockroach rides the rim of a rotating merry-go-round. If the angular speed of this system (merry-go-round + cockroach) is constant, does the cockroach have (a) radial acceleration and (b) tangential acceleration? If the angular speed is decreasing, does the cockroach have (c) radial acceleration and (d) tangential acceleration? A.Yes, Yes and Yes, Yes B.Yes, No and Yes, Yes C.Yes, Yes and Yes, No D.Yes, No and Yes, No

Sample Problem 2 A centrifuge is used to accustom astronauts trainees to high accelerations. The radius of the circle traveled by an astronaut is 15m. A)At what constant angular speed must the centrifuge rotate if the astronaut is to have a linear acceleration of magnitude 11g? B)What is the tangential acceleration of the astronaut if the centrifuge accelerates at a constant rate from rest to the angular speed of (A) in 120s

The figure shows three small spheres that rotate about a vertical axis. The perpendicular distance between the axis and the center of each sphere is given. Rank the three spheres according to their moment of inertia about that axis, greatest first. A.1, 2, 3 B.3, 2, 1 C.All tie

The figure shows an overhead view of a meter stick that can pivot about the dot at position marked 20 (for 20cm). All five horizontal forces on the stick have the same magnitude. Rank those forces according to the magnitude of the torque that they produce, greatest first.

Sample Problem 3 The figure shows a uniform disk, with mass M=2.5kg and radius R=20cm, mounted on a fixed horizontal axel. A block with mass m=1.2kg hangs from a massless cord that is wrapped around the rim of the disk. Find the acceleration of the falling block, the angular acceleration of the disk, and the tension in the cord. The cord does not slip, and there is no friction at the axle.