18-26. Two wheels of negligible weight are mounted at corners A and B of the rectangular 75-lb plate. If the plate is released from rest at 6 = 90°, determine its angular velocity at the instant just before 0 = 0. 3 ft 1.5 ft в

18-26. Two wheels of negligible weight are mounted at corners A and B of the rectangular 75-lb plate. If the plate is released from rest at 6 = 90°, determine its angular velocity at the instant just before 0 = 0. 3 ft 1.5 ft в

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter11: Angular Momentum

Section: Chapter Questions

Problem 75P: A gyroscope has a 0.5-kg disk that spins at 40 rev/s. The center of mass of the disk is 10 cm from a...

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The Sun’s mass is 2.01030kg , its radius is 7.0105km , and it has a rotational period of approximately 28 days. If the Sun should collapse into a white dwarf of radius 3.5103km , what would its period be if no mass were ejected and a sphere of uniform density can model the Sun both before and after?
If AB=AB, what is the angle between A and B?
A disk 8.00 cm in radius rotates at a constant rate of 1 200 rev/min about its central axis. Determine (a) its angular speed in radians per second, (b) the tangential speed at a point 3.00 cm from its center, (c) the radial acceleration of a point on the rim, and (d) the total distance a point on the rim moves in 2.00 s.
19-17 The 100 kg spool is resting on the inclined surface for which the coefficient of kinetic friction is = 0.1. Determine the angular velocity of the spool when t = 4s after it is released from rest. The radius gyration about the mass center is = 0.25 m.
At 714 A.M. on June 30, 1908, a huge explosion occurred above remote central Siberia, at latitude 61 N and longitude 102 E; the fireball thus created was the brightest flash seen by anyone before nuclear weapons. The Tunguska Event, which according to one chance witness “covered an enormous part of the sky,” was probably the explosion of a stony asteroid about 140 m wide. (a) Considering only Earth’s rotation, determine how much later the asteroid would have had to arrive to put the explosion above Helsinki at longitude 25 E. This would have obliterated the city. (b) If the asteroid had, instead, been a metallic asteroid, it could have reached Earth’s surface. How much later would such an asteroid have had to arrive to put the impact in the Atlantic Ocean at longitude 20 W? (The resulting tsunamis would have wiped out coastal civilization on both sides of the Atlantic.)
A gyroscope has a 0.9 kg disk that spins around its axis of symmetry at 32 rev/s. The center of mass of the disk is 18 cm from a pivot; this distance is the same length as the radius of the disk. What is the precession angular velocity (in rad/s)?
A star of radius R = 2.3 * 108m rotates with an angular speed v = 2.4 * 10-6rad>s. Ifthis star collapses to a radius of 20.0 km, find its final angular speed. (Treat the star as if itwere a uniform sphere, and assume that no mass is lost as the star collapses.)
A 550-g uniform sphere of 7.3-cm radius spins frictionless at 32 rev per sec on an axis through its center. Find its (a) KE (b) angular momentum, and (c) radius of gyration.
A pulsar is a rapidly rotating neutron star that emits radio pulses, one such pulse for each rotation of the star. The period T of rotation is the time for one rotation. It is found by measuring the time between pulses. At present, the pulsar in the central region of the Crab nebula has a period of rotation of T = 0.033 s, and this is observed to be increasing at the rate of 1.26 x 10-5 s/y. What is the value of the angular acceleration in rad/s2? If its angular acceleration is constant, how many years from now will the pulsar stop rotating? The pulsar originated in a supernova explosion seen in the year A.D. 1054. What was T of the pulsar when it was born? (Assume constant angular acceleration since then.)
Suppose you are looking down on a disk that is spinning counterclockwise. If we apply upward torque to the disk, its angular speed A. Increases. B. Decreases. C. Remains the same.
A thin spherical shell of mass m and radius R rolls down a parabolic path PQR from a height H without slipping. Pary PQ is rough while part QR is smooth. If the height reached by the shell on the part QR is h then h/H is?
By applying torque of 10 N m, a circular disc with a mass of 20 kg and a radius of 0.1 m is rotated along an axis running through its centre and perpendicular to its plane. Calculate the disc's angular velocity after three seconds.