EBK PHYSICS FOR SCIENTISTS & ENGINEERS
5th Edition
ISBN: 9780134296074
Author: GIANCOLI
Publisher: VST
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A particle moves in a plane with constant radial velocity ̇r = 4 m s−1
starting from
origin. The angular velocity is constant and the magnitude is ̇θ = 2 rad s−1
. When the particle is 3 m
from the origin, find the magnitude of (a) the velocity and (b) the acceleration.
Point A of the circular disk is at the angular position 0 = 0 at time t = 0. The disk has angular velocity wo = 0.29 rad/s at t = 0 and
subsequently experiences an angular acceleration a = 1.8t where t is in seconds, and a is in radians per second squared. Determine the
velocity and acceleration of point A in terms of fixed i and j unit vectors at time t = 2.7 s.
Assumer = 145 mm.
α
Answers:
VA =
aд =
90
(i
(
i
0
6.806
i +
i +
i
i
1
0.705
j) m/s
j) m/s²
Angular speed (ω) is related to speed (v) as: v = r × ω, where r is radius. Determine the dimension of angular speed ω in terms of [L], [M], [T].
Chapter 11 Solutions
EBK PHYSICS FOR SCIENTISTS & ENGINEERS
Ch. 11.1 - Prob. 1AECh. 11.1 - Suppose you are standing on the edge of a large...Ch. 11.1 - CONCEPTUAL EXAMPLE 115 Spinning bicycle wheel....Ch. 11.1 - For the vectors A and B in the plane of the page...Ch. 11.2 - Prob. 1EECh. 11.2 - Prob. 1FECh. 11 - Can the diver of Fig. 112 do a somersault without...Ch. 11 - When a motorcyclist leaves the ground on a jump...Ch. 11 - Suppose you are sitting on a rotating stool...Ch. 11 - Prob. 4Q
Ch. 11 - A shortstop may leap into the air to catch a ball...Ch. 11 - If all the components of the vectors V1 and V2...Ch. 11 - A force F=Fj is applied to an object at a position...Ch. 11 - A particle moves with constant speed along a...Ch. 11 - If the net force on a system is zero, is the net...Ch. 11 - Explain how a child pumps on a swing to make it go...Ch. 11 - Describe the torque needed if the person in Fig....Ch. 11 - An astronaut floats freely in a weightless...Ch. 11 - On the basis of the law of conservation of angular...Ch. 11 - A wheel is rotating freely about a vertical axis...Ch. 11 - Consider the following vector quantities:...Ch. 11 - How does a car make a right turn? Where does the...Ch. 11 - In a rotating frame of reference. Newtons first...Ch. 11 - Why is it that at most locations on the Earth, a...Ch. 11 - In the battle of the Falkland Islands in 1914, the...Ch. 11 - Prob. 1MCQCh. 11 - Prob. 4MCQCh. 11 - Prob. 5MCQCh. 11 - Prob. 6MCQCh. 11 - Prob. 7MCQCh. 11 - Prob. 8MCQCh. 11 - Prob. 9MCQCh. 11 - Prob. 10MCQCh. 11 - Prob. 11MCQCh. 11 - Prob. 1PCh. 11 - Prob. 2PCh. 11 - (II) A nonrotating cylindrical disk of moment of...Ch. 11 - (II) A diver (such as the one shown in Fig. 112)...Ch. 11 - Prob. 5PCh. 11 - Prob. 6PCh. 11 - Prob. 7PCh. 11 - Prob. 8PCh. 11 - Prob. 9PCh. 11 - (II) A person of mass 75 kg stands at the center...Ch. 11 - (II) A person stands on a platform, initially at...Ch. 11 - Prob. 12PCh. 11 - Prob. 13PCh. 11 - (II) A woman of mass m stands at the edge of a...Ch. 11 - Prob. 15PCh. 11 - Prob. 16PCh. 11 - (II) A uniform horizontal rod of mass M and length...Ch. 11 - (II) Suppose our Sun eventually collapses into a...Ch. 11 - (III) Hurricanes can involve winds in excess of...Ch. 11 - Prob. 21PCh. 11 - (I) If vector A points along the negative x axis...Ch. 11 - (I) Show that (a) i i = j j = k k = 0. (b) i j...Ch. 11 - (I) The directions of vectors A and B are given...Ch. 11 - (II) What is the angle between two vectorsA and...Ch. 11 - Prob. 26PCh. 11 - (II) Consider a particle of a rigid object...Ch. 11 - Prob. 29PCh. 11 - (II) An engineer estimates that under the most...Ch. 11 - Prob. 31PCh. 11 - Prob. 32PCh. 11 - Prob. 33PCh. 11 - (I) What are the x, y, and z components of the...Ch. 11 - (I) Show that the kinetic energy K of a particle...Ch. 11 - (I) Calculate the angular momentum of a particle...Ch. 11 - (II) Two identical particles have equal but...Ch. 11 - Prob. 38PCh. 11 - Prob. 39PCh. 11 - Prob. 40PCh. 11 - (II) Four identical particles of mass m are...Ch. 11 - (II) Two lightweight rods 24 cm in length are...Ch. 11 - (II) Figure 1135 shows two masses connected by a...Ch. 11 - (III) Show that the total angular momentum L=ripi...Ch. 11 - Prob. 45PCh. 11 - Prob. 46PCh. 11 - (II) A thin rod of mass M and length is suspended...Ch. 11 - Prob. 48PCh. 11 - Prob. 49PCh. 11 - Prob. 50PCh. 11 - Prob. 51PCh. 11 - (III) A thin rod of mass M and length rests on a...Ch. 11 - (III) On a level billiards table a cue ball,...Ch. 11 - Prob. 54PCh. 11 - (II) A toy gyroscope consists of a 170-g disk with...Ch. 11 - Prob. 56PCh. 11 - Prob. 57PCh. 11 - Prob. 58PCh. 11 - Prob. 60PCh. 11 - Prob. 61PCh. 11 - (II) Suppose the man at B in Fig. 1126 throws the...Ch. 11 - (II) For what directions of velocity would the...Ch. 11 - (III) We can alter Eqs. 1114 and 1115 for use on...Ch. 11 - (III) An ant crawls with constant speed outward...Ch. 11 - A thin string is wrapped around a cylindrical hoop...Ch. 11 - Prob. 67GPCh. 11 - Prob. 68GPCh. 11 - Why might tall narrow SUVs and buses be prone to...Ch. 11 - A projectile with mass m is launched from the...Ch. 11 - Prob. 71GPCh. 11 - Prob. 72GPCh. 11 - Prob. 73GPCh. 11 - Prob. 74GPCh. 11 - Prob. 75GPCh. 11 - Prob. 76GPCh. 11 - Prob. 77GPCh. 11 - Prob. 78GPCh. 11 - A particle of mass m uniformly accelerates as...Ch. 11 - Prob. 80GPCh. 11 - Most of our Solar Systems mass is contained in the...Ch. 11 - Competitive ice skaters commonly perform single,...Ch. 11 - Prob. 84GPCh. 11 - A baseball bat has a sweet spot where a ball can...Ch. 11 - Prob. 86GP
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